I think I experience what you are describing, +Lyme. If so, good explanation! What I feel is quite uncomfortable because it's grown in intensity. Although it's hardly noticeable during the day (unless I'm having a really bad day), at night when I sit still or when trying to get to sleep, it can become fairly disturbing.
As for seeing a Neuro, just be sure they are Lyme literate. There are quite a few out there I believe, but of course not always in the same area we are. I have yet to hear of one Lyme literate doc in my entire state!
One thing I can tell you is that with treatment these symptoms have gotten better for me overall and most days I don't notice it at all - until evening and even then it's generally a lot more tolerable now.
Interesting that your LLMD isn't willing to treat your Neuro symptoms. Sometimes even really good LLMD's have trouble seeing issues and thinking outside of their 'box' - if you lose confidence in your LLMD, then I would suggest that you find another one.