Lips

I’m quite poorly at the moment with numerous infections and shingles. I’ve had the fan on 24/7 for two weeks now and this combined with probably meds or my illnesses, have made my lips so sore. They’re cracked, bleeding, swollen and now going numb. 
I cannot bear the feel of Vaseline or lip balm due to sensory issues. Anyone else ever had this problem and anything they can suggest that may work for someone who cannot stand the feel of creams or oily things? Maybe an impossible question but just figure I’d ask! 

Thanks :)