May I ask what is your other condition and what medication are you taking for that which is helping your esophageal Lichen Planus?
Yes finding a good doctor is daunting.
Unfortunately there doesn't appear to be a cross the board 'auto immune specialist'. So many of us have multiple manifestations which require a variety of doctors :/
These are the conditions I have in order of manifestation:
Allergic rhinitis (early adult)
eczema
psoriasis
lichen planus on skin (50's)
lichen planus in mouth
lichen planus w strictures in throat (late 50's)
Psoriatic arthritis pain in hands feet (60)

Thanks in advance for sharing the medication that appears to be helping your ELP!