I have seen other posts describing burning sensations and "heavy" limbs in the neurology forum. I don't seem to recall any clear answers. Let us know if your LLMD has one for you!
I was diagnosed with vasculitis but never heard of this, I agree with Jackie, just explain it as you feel it and hopefully your doc will know what is going on.
I would suggest that you simply describe it as you have here without truing to give it a medical or other formal name. The doc will have a better opportunity to understand if you give a description of how it feels than if you give it a medical name that may have meanings you are not aware of.
I was tested for it, and vasculitis was ruled out.
I must admit I have never heard of this symptom. However, I have heard of vasculitis as a Lyme symptom. I wonder if your pain could be vasculitis.