I double wrap my drop bars, or use a thick rubbery bar wrap (Arundel Synth Gecko).

On flat, arced or swept bars, I use ergo grips with palm shelves. Check out the Ergon brand from Germany. They cost a bit more but the locking collar keeps the grip where you want it for best support.

I've tried heavily padded gloves and they caused as many problems as they solved. The padding is never in quite the right place. But with good bar wrap or ergonomic grips, the padding in the right place is on the handlebar even if I'm riding without gloves.

I still wear gloves to protect against road rash but don't use padded gloves anymore. They have a thin but effective faux-chamois leather sort of protective covering where needed, but are minimalist gloves otherwise.