One of the few people who do NIT Bracketology -
https://x.com/thebarkingcrow/status/1900921712922816588
I don't know what Barking Crow's history is with accuracy, but I think pegging Bradley as a #3 seed in the NIT seems pretty accurate.
The NIT and NCAA have said they do their selections, seedings, and match-ups the same way they do it for the NCAA Tournament, meaning do not set match-ups to favor teams who draw better or have larger arenas. However, I believe that they do pair teams that result in a minimum of travel and expenses. So Loyola would seem like a good possibility. I hope it's not Loyola, since we played them in the first round last year.