Here's where these teams finished last year in Pomeroy's ratings:
16 - Texas A&M
40 - Illinois
66 - Tulsa
72 - Kent State
165 - UNC-Wilmington
264 - Texas A&M Corpus Christi
320 - Jackson State
339 - North Carolina Central
Texas A&M figures to take a step back, due to the loss of two good starters to graduation (Dominique Kirk and Joseph Jones) and 7-footer DeAndre Jordan to the NBA draft. They do add two 4-star freshmen, at PG and PF. I see them being a borderline NCAA tourney team.
Illinois loses their two interior starters but adds SG Jamar Smith and JUCO PF Dominique Keller. Incoming 3-star PF Stan Simpson doesn't figure to play much. Sophomores Mike Tisdale, Mike Davis, and Bill Cole will have to provide solid play on the interior for Illinois to be competitive. The backcourt should be fine with McCamey, Smith, Meacham, Frazier, and Brock. Illinois is probably an NIT team next season, but could get onto the bubble if the big guys can rebound and defend.
Tulsa looks to be a team on the rise after winning the inaugural CBI. They lose PF Calvin Walls and PG Brett McDade, but return their best three players in juniors Ben Uzoh, Ray Reese, and Jerome Jordan. They'll need someone to replace Walls' rebounding and McDade's outside shooting, but otherwise those two players were pretty average. I expect Tulsa to be a borderline NCAA team, but probably NIT.
Kent State loses their two best players in Mike Scott and Haminn Quaintance, and doesn't bring in much of a recruiting class. They're really lacking on the interior, where Quaintance was a great rebounder and defender. I think they slip back and might be a CBI team.
UNC-Wilmington had a decent season, but lose their top 4 players to graduation. They likely drop back to 200+.
The other three teams don't look likely to move into the top 200, so qualify as cupcakes.
So, I'd say the favorite is Texas A&M, but it isn't an especially strong field. Tulsa and Illinois also have a decent shot to win the tournament.