Yeah, I have the same issue. I'm a 6'3" guy with a wide frame as well, and yet my hand size is only at about the 40th percentile for males, so below average (mine are 3.5 inches wide measured across the palm, 7.5 inches long measured from tip of middle finger to the crease where the palm meets the wrist). Most guys my height and weight have much bigger hands, it's definitely an insecurity going through life with hands that feel too small, especially since probably at least 10% of women have bigger hands than me in all dimensions, and more than that are longer in terms of hand length since I have short fingers.
Here is my hand compared to a Switch Lite, don't have a regular Switch for closer comparison with your pic:
The best way I have found to cope is simply to not let myself care what other people think of me. If I start having insecure thoughts I just brush them aside and think of something else instead.
I see, although You have much longer thumbs than me which is definitely useful.
Have you ever had women notice or talk about your hands? Thank You for your input.