In the NIT, there are 8 seeds per region, therefore a team needs to be one of the top four seeds in any one of those regions to host. If you check out last year's bracket, you'll get a sense of the caliber of the 1- through 4-seeds.
http://en.wikipedia.org/wiki/2011_National_In vitat...
Note, however, that #8 seed McNeese State and #6 seed College of Charletson both hosted first round games last year - presumably because their opponents' arenas were unavailable. BU has offered to host a first round game, so maybe we'll get lucky and draw an opponent who has to play on the road.