I would look here :
/www.lymediseaseassociation.org/ Go to Dr. Referral. You will have to register, but you can search by zip code. That will be the quickest and easiest search. On the drop down list I pick ILADS trained and you can highlight naturopath to be even more specific in your search. Then click submit and you are given names. You get 3 searches per month per email. I had to borrow hubby's email to get more searches.
/globallymealliance.org/education-awareness/find-medical-professional/ -- this place sent me names in less than a week. It is EXTREMELY up to date! There was a new doctor in my area that I had not heard of.
ilads.org/ilads_media/physician-referral/ -- I have no experience using this link.
/sites.google.com/site/lymedoctors/florida -- I have no personal references for any of the doctors listed here. You will have to call and see if they are naturopath/integrative.
Looks like a homework assignment. Sorry.
I hope someone has a personal reference. That will be so much easier.