Over the years I developed numbness or tingling in the hands and I tried various things but never completely eradicated it. I used foam tape covered with handlebar tape and padded or gel mitts which gave the best (or least worst) results with shallow drop bars. The latest variety of bars I'd used were Nitto Randonneur bars though probably there is more choice of bars now with gravel bike bars in the mix. The thing about the randonneur bars for me that they had a slight upsweep from the stem clamp which gave another comfortable hand position. There's no magic bullet. Oddly, due to me developing neck pain more recently I found myself having to raise the bars, which also helped with the hand problem, but led to me needing to change my saddle as it then carried more weight. Perhaps a stem raiser or adjustable stem might work as an experiment rather than having to change your bars in the short term? A change at one end often affects fit somewhere else, though.
My most drastic change in the last few years was to take up riding recumbents which is a bit of an extreme solution when in all likelihood it will be a small change in position, or maybe just conditioning and more riding, that would make your problem less of an issue. I hope that's some help.