My Mom has neuropathy and rides a stationary bike daily, of course she doesn't have to worry too much about balance with a stationary bike. You said you "assume your current balance issues are related." The word assume has me concerned. My mother doesn't seem to have balance issues related to her neuropathy, but levels of it may differ. I think you should wait til you see your Doctor and make sure you know what is the cause of your balance issue just to be safe. I am glad to hear you don't want your neuropathy to limit your life, and I hope that you will be able to bike ride!