Too thick meaning your hand did not wrap around comfortably anymore? Did you have the smaller back piece installed when you tried it?Those [wrap-around grips] are usually too thick. I've already tried both and both were to thick.
If skateboard tape doesn't work, give this a try. Oldtime bullseye shooter trick to custom fit your grips. Cut it to size and put it where you want. Probably don't need it all around; try just on the front and backstraps.skateboard tape. Grip tape, etc.
Or, rough up the existing grips with 80 grit sandpaper.