I have had both. Three predators and a TT. With a 29" draw, I can't go below 60" predator. The 58" just doesn't feel right to me. I think I could do a 58" TT but will have to check on that. Neither grip fit me like I would like one, but both shot good for me. The predator grip tends to be too large. I did shoot a small grip version once and that was okay. The TT is a better grip for me for consistency, but the high grip messed with my elbow and shoulder. I really want to get a chance to shoot a TT recurve with a low grip. Love the TT TD LB grip. I never had both to shoot side by side, but the predator is really a performer. It can't be much faster than a TT. I could get the TT quieter much easier.
Your best bet is to shoot both. For me it would be a TT with a lower than standard grip.