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.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher