Just wanted to empathise as a fellow LS and VA sufferer, sorry I can't help with your actual question but maybe someone will be along shortly to answer that.
There is a brilliant support group for LS on Facebook, if you are a user and are not yet a member I'd highly recommend it. Its called 'Lichen Sclerosis UK support group for women' (or very similar!)
Ah, a thought has just occurred to me, was your Dr maybe talking about Estrogen pessary, like Vagifem, rather than Progesterone? If so, these have been a lifesaver for me on the VA front and definitely worth you using.
Suzie