Dumb question, but is another way of describing the neuropathy akin to wearing gloves? You described it as not being aware of touching anything because you're already touching something. Wearing gloves would be like a perpetual state of touching something.
If this sounds more or less on track, I'm wondering whether wearing gloves could somehow fool your brain...?
I was initially thinking of winter gloves, but perhaps latex gloves would be more apropos. Disposable, fancy (eg, fetish) or heck, dishwashing gloves...? Add the lube and go?