Gunderson's conjunctival flap:
Your dr. is right it would relieve your pain but would be not good cosmetically. But looking at the intensity of your pain I would believe cosmesis is not your priority...pain is! So a conjunctival flap covering your uneven cornea
is not a bad idea.
because you have no vision in that eye, I would recommend to try Amniotic membrane graft...that would be less diastrous cosmetically & does reduce the inflammation a lot.