KJ is really best suited for Wilson's role. He came out of high school with a loose handle and a jumper that needed to develop, so he played where his athleticism was most useful - as a 5 in small lineups. Go back and watch his HS plays. He was a perimeter player as much as an interior one. He just wasn't far enough along in his development to play full time on the wing. But he's a 3/4, not a 4/5. He's the guy that could make a real leap in development. He played less than 200 minutes all season. His athleticism and defense were evident this year. If his offense comes along, he could be a real problem.
Clemence is the one that is a mystery to me. His skill level is obvious. But how does he fit in without a true 5? He would be best suited to play as a stretch 4, rather than having to bang on the interior. Think of him as a less polished Brady Manek - a guy that can step out and shoot, but is best utilized with a bruiser inside to rebound and protect the rim. Udeh probably is not that guy next year, but if the right option shows up in the transfer portal, that could solve that problem while Udeh develops.
If Braun and Wilson are not back, we could see both Dick and Rice starting. Rice is much further along (it appears) with his ball handling and shooting, so he will likely be ready to contribute on Day 1. Obviously, if both Braun and Wilson come back, Rice is probably coming off the bench, but if not, I imagine he starts quickly, if not immediately. Dick is ready out of the box as a shooter, and probably is more prepared to contribute early than Christian Braun was coming out of HS. Figuring out roles of these two will depend on if Braun and Wilson are back, but they will both have some sort of role.
Self probably won't target a guard unless it is a known sniper at the 2 that is over 6-4. With Harris, Yesufu and Pettiford already in house, there's no need to bring in another guard unless it is someone that has already demonstrated they can shoot 40% or so from three and gives you a bigger wing player (someone in the mold of JCL).
KU may look to the portal for a bigger interior player, though. Because that isn't Clemence's style, getting someone to fill that void would be a serious upgrade for next year.
Nijel Pack or Terrence Shannon would be great additions for KU on the wing, though I doubt KU gets either. Manny Bates might be the best fit inside, as he is a top notch shot blocker at 6-11, 230 from NC State. The downside for him is that he missed the season with a shoulder problem, but if he is fully healthy, he would have two years of eligibility.