Are you sure you are using an ILADS referred LLMD? There are not many LLMD infectious disease doctors out there, and there are none in Baltimore that I know of assuming thats where you are, based on going to Hopkins. I want to remind you that my cousin was initially diagnosed at Hopkins and then Univ Of MD. They will laugh at you and not even consider Lyme + coinfections. In other words, they are notorious for not believing in Lyme and I can assure you, they will diagnose you with MS. Have you been tested for babesia or bartonella, I personally believe bartonella is the real culprit and it is very difficult to test positive for. Have you been tested for CPN?
Go back to your initial neurologist and beg her for more Doxy or Mino and then find another LLMD. A true LLMD knows 1 month of Doxy is not enough, not even close! Tell her that Minocycline is used for MS and it would ease your mind if you could take that for now.
The reason I am really trying to stress to you to find another doctor is because it is easier to treat when you start early. Time is really of the essence! Again 1 month of antibiotics is nothing and this is the crux of the controversy - read this link about a protest this weekendhttp://lymedisease.org/activism/idsa-protest-why.html
MS treatments are opposite of Lyme treatment, it will make you worse.