Carunculitis,symptomatically I would suggest for cold
compressions( for 5 -10 mins several times a day) will comfort you rather than hot fomentations.
Along with oral anti allergic pills, a topical anti allergic eye drops with a good lubricant drops (6-8 times a day)will give a quicker relief.
Avoid rubbing as it causes more mediators(Histamines) release,which are responsible for your itching:).
Consult your ophthalmologist as you may need a short course of steroid
eye drops/ ointment depending on the severity and the cause.
Hope this helps for your recovery. Take care :-).