I hope you get recommendations, but you probably are going to have a difficult time finding a LLMD that takes insurance. Those are hard to come by.
Here are some places that I have searched for a LLMD:
/sites.google.com/site/lymedoctors/new-jersey/globallymealliance.org/education-awareness/find-medical-professional/ilads.org/ilads_media/physician-referral//www.lymediseaseassociation.org/ -- Go to Dr. Referral tab