Excellent suggestion and I agree with you on the superior grip of a good jap-wrap handle. My ideal handle is wider with the wrap IE: my Watson HiTS Ti.
However I'm not sure re-texturing or even re-wrapping the handle on the CCW will solve my issues with rolling. It's just a little small for me. I'm thinking about selling it to buy the larger L version because I really like the design of it. Here is a screenshot from the Maker's Instagram account of the two versions next to each other:
I also am itching to get my hands on a Sosby Blades Cub as a true discreet CCW carry blade. Handle looks like it will solve some of my issues.