bradnewengland
Try an over-the-counter antihistamine like Claritin or a generic equivalent (10 mg Loratadine) 1x daily. It's widely available and has become more affordable--especially the generic versions.
I take it every day for my seasonal allergies and it really helps with my LP itching...I have virtually none at all!
I also like to spread the word about how much Vitamin C (1000 mg 1x daily) and Magnesium (250 mg 1x daily) has helped me manage my lichen planus. Whenever I have breakouts, I take 1000 mg Vitamin C and 250 mg Magnesium each day for 1-4 weeks (depending on the severity of the outbreak). I supplement it with over-the-counter 1% Hydrocortisone topical cream and the combination does just the trick!
I have the inherited form of LP (my father and grandmother also have it), so I experience outbreaks multiple times...every couple years or so.
Hope this helps. Best of luck and take care!