Burning sensations in legs could also point towards neuropathy, vein insufficiency, inflammatory reactions, or a combination of those - they all may result from immune reactions.
Check B12 level and supplement if low.
Consider supplementing with antioxidants that suppress inflammation - that is good for arteriosclerosis too. The traditional ones for vein problems are Diosmin, Pycnogenol (maritime pine bark extract). Other general antioxidants that suppress inflammation are L-Glutamine, Superoxide Dismutase, Milk Thistle Extract, Quercetin, Cardamom.
Keep in mind many of those will interact with drugs so take them at different times, separated by as wide as possible time interval.