Is it possible to buy a home if you can't use a phone?

Firstly try not letting the agent have your phone number at all, so that they can't use it. The 'contact us' forms on their websites usually ask for a phone and email contact. Try and see if it will submit with just the email. If not, what I do when contacting any organisation is adding a load of zeros where it asks for phone number, so that the form will submit.

Let them know that you are a cash buyer with no chain. You may then find that they are much keener to contact you, using whatever form of communication you prefer 

If a phone call is absolutely necessary you could try using a text to talk relay service, designed for deaf or speech impaired people. https://www.relayuk.bt.com/ 

Although it is meant for the hearing impaired I don't see any reason why autistic people couldn't use it. Most people will assume that auditory processing disorder is a hearing issue anyway.

There are other things to consider as well when deciding if home ownership is the right choice for you. You will be responsible for any ongoing maintenance and repairs, which may much more stressful than when it was your landlord's responsibility. This is something I really struggle with and there is no support available for things like this.

With rising interest rates property prices may fall, as mortgages get more expensive. You are in a stronger position as a cash buyer. It's also worth considering the opportunity cost of how much interest you could have earned on your savings compared to what you would save in rent.

My work is easy (doesn't involve people). I feel under pressure to keep earnings high so I can pass landlord affordability checks. But then I never spend anything. Buying stuff is stressful. I despise travel. Samefoods diet costs about £12 a week. I have regular activities I do every week but none are particularly expensive. I tried branching out but it made me less happy so I went back to what I like. I'm 35 and barring a few thousand from a deceased grandparent it's mostly just built up over the last decade and a half.

Edit: forgot to mention I also bought about £200 of bitcoin, forgot about it for the best part of a decade, and then sold it for about £20,000.

I'm in Yorkshire.

Once whilst I was out at work my O/H put in an offer for a house "subject to survey" as all offers are, of 64 thousand quid to beat off the stiff competition. Our maximum calculated repayment capability was 55K and stamp duty was set at a 60K threshold. I took our surveyor to one side and instructed him to "find everything" he possibly could, and made sure he knew he was being paid to "miss nothing". 

When he came back with a decent list of defects, I thanked him kindly, and instructed the O/H to submit the report to the agents with a revised offer of £59,995...

She said "if you make me miss this house"....

She had a point, it was well below market value, (but was a fixer upper) so there really was serious competition for it, in a housing boom, and it was nice the best we'd yet seen. Even I liked it. 

But I knew those few words of instruction to the surveyor had produced me a body of confidence killing information to the agent! I suspected that my proposed reduction although by getting under the stamp duty threshold was amazing for US wasn't as bad for the agent as possibly restarting the deal would be, so there was a chance that even in that bull housing market I could pull it off.

And being "tight" when buying a thing is what I seem to be really good at, so of course I didn't lose her her house!

I could have, but I called it right, and to be fair, I needed to, we had a hard job hanging onto it after a few years, and that smaller mortgage really helped. 

I can see people have mentioned CAB. They should know if there are any advocacy services in your area. 

If you find somewhere you like, although you don't need a survey if you have cash it is worth getting one done for peace of mind. You may be able to arrange this with email and the report is likely to come the same way.

If you have a viewing it is worth writing down any questions to email after and don't feel pressurized to make a decision.

When it comes to price you can try putting in a low offer at first by email.

If you live anywhere near me.

I'll gladly help you solve that problem in the hope that I can learn from you how the heck you managed to save enough to buy a flat for cash...

That's an incredible achievement! 

That's a serious offer, and having bought two houses in my time, (but been unable to keep them, due to the old fluctuating income v mortgage scenario) and one piece of land. (Paid cash so it's mine, irrespective of income now) I an qualified & competent to help.

Just tell them to stop, and slow down. Thats what I do. I just say, sorry, can you wait a moment. I’m autistic and I can’t take information in quickly whilst on the phone. Almost everyone I’ve said that to has been very accommodating. 

I could look up where they are and try that if they're reachable by foot/bus. Are they receptive to that? The problem with in person is people usually assume I'm a child and treat me accordingly. I just got new ID so I'll try getting it out as quickly as possible to correct them.

I suppose if I got a calendar and marked every possible time with YES or NO before the call I might be able to give answers to them saying "is this time ok?" Assuming the line is good enough to understand what they are saying. I can manage calls with machines as they speak clearly and wait for you to reply, but with a human they usually end up hanging up on me because I can't process the noise into words and respond quickly enough. I briefly worked in a call center and if anything got worse rather than better at it with practice.

Have you tried going to the estate agent / letting agents shop in person? Would that help?

People are lazy, and it’s quicker to call. Can you use the phone for short calls? Like if they gave you an appointment? I think that might be something to practise for? I cannot take in information the phone either, but I can write a day and time down. As long as I can read my scribble I’m safe!

I don’t know of any agencies who can help, but might a social worker? Or support worker? The best thing to do might be to ask your GP practise if they can recommend a place, and speak to the CAB.

I am in the same sort of position as you, as in needing to buy and move. I’m burying my head in the sand right now. It’s a daunting things to do, and I have no idea where to start. Anyway, this isn’t about me, I just wanted you to know you’re not alone.

One piece of advice I’ll give, is to take your time. Make lists. Find out what you really want, and what compromises you might be willing to make. Factor in the service and ground rent charges as well. 
keep asking questions here when you have them, as someone has probably already been thought it.

You'll need someone who can help by acting as a go between. Even without a mortgage, you'll have the estate agent and a solicitor to deal with. Once you move in you need to call all the utilities companies, phone/broadband etc etc. Perhaps try Citizens Advice, local CAMS team, local council...