Our hands are fully capable of supporting a considerable amount of weight for long periods of time IF we take care to not pressure several areas with nerves and veins. (Look at the pros. They have a lot of weight on their hands, especially on the very long races where they ride many miles not all that hard and therefor do not have their legs relieving hand pressure.) I am tall and skinny. I like riding relatively fast for long distances, sometimes upwind. To do that, I have my handlebars forward and low.. Weight on them is a fact of my riding life. But issues (other than calluses and wearing out gloves) isn't - as long as I set my handlebars up to work with my hands.

First comment - you do not say what your handlebars are. Dropped (road racing style)? Straight or near straight? Mountain bike? Another shape? Many of us love the dropped handlebar because it offers so many options on where and how to place your hands. Several very different positions all give good access to brakes and gears. (There are many however who set their dropped handlebar bikes up so that one or more options are not feasible.)

My setup routine is to leave the handlebars bare. Only tape is electrical tape to secure the cables. I go for one or more rides with all the wrenches to adjust the stem, the rotation of the handlebars and the position of the brake levers. Before leaving, I mark the settings with tape. Stop and tweak any time I feel there is room for improvement. Observe how my hands feel after the ride. Edit: I do not tape the bars until I feel everything is right. And even then, that first tape job is cloth tape wrapped from the bottom so I can unwind the tape, move the brake levers and rewrap. The good stuff doesn't go on until that cloth is worn out and I know I like what I've got.

Over time, my body has changed. Though I got "the fit" 45 years ago, periodically I have to start over as I start having issues that weren't there before. (Aging sucks. I don't recommend it. I blew my chance at immortality.) With my last round of bare bar riding, I found that rotating the bars down so the brake hoods also went down improves my numbness during and after rides a lot. My bikes now look odd, but my hands no longer have issues..

I highly doubt my solution will help you at all. You need to find what works for you. Try wrapping your hands around the handlebars of other bikes, perhaps at a bike shop. See what feels good or natural. Go for a "bare bars" ride or two. Try things. Different handlebars can be very different. Moving brake hood locations can make radical changes in how your hands feel. (You may need to compensate by raising or lowering your stem/spacers to get different hand fits while not changing your overall position on the bike.)

If you ride with others, ask those with long experience to check your riding style and offer comments. Don't take these as "the law". Just take them as more information, some of which might be very useful. And above all - keep an open mind! Listen to your body! The "answer" is out there. You have to be open enough to see it when it comes.

Welcome to BF! Stick around, ask questions and don't take anybody's posts personally.