Here is my assumption.
Given one full year of training, you should be able to run 10k at approx the same pace at 10k as you are running in the 5k this year.
Say you can run 33:30 next year.
There are more than 100 NCAA div 1 that don't have 7 runners that achieved 33:30 at regionals.
You have your pick of South Dakota, Southern Illinois, Iowa, Illinois State, Eastern Illinois, Loyola, Wishita State, UMKC, Saint Louis, SE Missouri, SIW Edwardsville, North Dakota, Kansas State, Western Illinois, De Paul, Creighton and Oral Roberts in the Mid West alone...
You can actually attend a middle of the pack team. You don't have to go to the bottom.
In fact, you could attend any of the schools from Saint Louis down and actually be a scorer (top 5). You would be top 3 from Western Illinois down.
In my mind, there are only Oklahoma State (7th was 31:17), Minnesota (7th was 32:19), Iowa State (7th was 32:25), Illinois (7th was 32:31), Tulsa (7th was 32:35) and Oklahoma (7th was 32:56) that should be avoided. You would probably be top 7 in all other schools as a Soph (assuming that you keep progressing) and top 7 as a Freshman at all schools from South Dakota down.