Be sure to put epoxy above where your grip will be, and get plenty of epoxy on the inside before it slides to where it's going to sit. Any excess epoxy that gets squeezed out should be cleaned up with paper towels and denatured alcohol before it dries. If you have a really tight fit with your EVA, you can soften it up by wrapping it in paper towels, get it wet, and then microwave it for about 10 seconds.
What if I'm doing a split grip? I was planning to wrap and finish the area between the handles, and then slide on the end piece. Is there a better way?
Do I go ahead as planned and wipe the epoxy from the finished wrap?
I would just go ahead as planned. As long as the decorative work in the split is finished and the epoxy is fully cured, you shouldn't have any problem cleaning up your grip adhesive while its still wet.
Yes, the alcohol will not damage the cured finish. I would just use alcohol and paper towels to clean up any spills or excess epoxy. It's much easier and cleaner than trying to sand cured epoxy. In the future, you may want to check out Rod Bond or Ultimate Gel for your grip adhesive. Both of these have a gel consistency and are less messy than regular epoxy adhesive.