Ohio has the 12th-best RPI among eligible teams not selected to the NCAA Tournament, so I think the Bobcats are in pretty good shape.
The teams with better RPIs are: Southern Miss (34), Louisiana Tech (54)*, UMass (55), Kentucky (56), New Mexico State (57), Tennessee (58), Alabama (60), Charlotte (61), Detroit (64), BYU (65) and Eastern Kentucky (66).
After Ohio at 67, there is: Baylor (68), Maryland (69), Denver (70), Stephen F. Austin (71)*, Wyoming (72), Indiana State (73), Virginia (74), Stanford (75), North Dakota State (77), Air Force (78), Iowa (79), Northern Iowa (80), St. Joseph's (81), Northwestern State (82), Florida State (83), LSU (84), Stony Brook (85)*, Arkansas (86), Arizona State (87), Washington (88), Providence (89), Xavier (90), Richmond (91), St. John's (92), Weber State (93), Harvard (94), UTEP (95), Florida Gulf Coast (96), Santa Clara (97), Texas A&M (99) and Loyola, Md. (100).
* are automatic qualifiers for the NIT.
Other auto qualifiers are: Long Beach State (118), Robert Morris (121), Niagara (124), Mercer (141), Northeastern (163), Norfolk State (177) and Charleston Southern (191).
Who knows what criteria the NIT really uses to pick teams. I'm sure most of major conference teams will get in. There's 12 of those after Ohio. Throw in the 12 teams ahead of Ohio and the seven auto qualifiers ranked after Ohio and that's 31 teams.
First-round games are Tuesday and Wednesday. Second round is Thursday through Monday and quarterfinal games are next Tuesday and Wednesday, all at campus sites. Semis and finals are Tuesday and Thursday, the 2nd and 4th of April.