With my first road bike, I had no real issue with my hands after getting a professional fit. With my second bike, it was a whole other story. Durong ridesn my hands were painful and bright red. After, they were bruised and sore. I tried nearly every fix known to man and two fitters before finally hanging the bike up. While a few of the tweaks helped marginally, they did not help me ride pain free. I think the bike was just too small for me. I'm back to riding my first bike. I had to ease back into yoga after taking a break when my hands were at their worse.

Hopefully, the OP's issues are nowhere near as difficult to solve. But, if the issues persist, please consult with a hand specialist. Like I said, nerve issues with your hands can be quite serious.