Maybe try some handlebar tape for road bicycles, some of the better stuff has gel in the core and available in different thicknesses for different size hands and preferred grip. Some is "extra tacky" to give that bit extra grip if that would be any use, plus it's all available in a million different colours, styles, patterns etc so might help ID your saw a bit easier.
This might be worth a read on choosing
Best Bar Tape for Gravel and All-Road: Your Ultimate Guide
WWW.ALLMOUNTAINSTYLE.COM
Ever hit a trail where every bump felt like a direct message from the gravel gods? I have. And it led me to a revelation about one of the most underrated heroes of our rides: bar tape. Stick...