Obviously, a proper fitted frameset is the way to go, but....
two things have helped me. I have Carpal Tunnel Syndrome, so numb hands were an issue even on short rides. I got a set of drop bars with a 12 degree flare -
No.7 12F Drop Bar | Whisky Parts Co and they helped my wrist position. I also started wearing fingerless weightlifting gloves with wrist straps
Amazon.com : skott Evo 2 Weightlifting Gloves with Integrated Wrist Wrap Support-Double Stitching for Extra Durability-Get Ripped with The Best Body Building Fitness and Exercise Accessories : Sports & Outdoors
My fingers may still go numb, but now it only happens after hours of riding.
Your results may vary.