I don't know its current status (I've heard its been all but shut down in the current economy) but I personally UPS had taken people for their Flight Training Co-ops from Purdue, ERAU, UND, SIU, Parks, Dubuque, and Indiana State.
So, some big name and some not-so big name schools in there.
I know it doesn't look fair, but don't let it stop you from applying to them all; a well-written cover letter could be all it takes to sell yourself as an aviation minor vs. major.