If it's your last year, you may not get to see this all the way through, but I'd look into starting a disc golf club. Get as many people as you can together and start having organized league nights, practices and see if you can talk a local pro into putting on a workshop or something. Start going to tournaments as a team (make jerseys, shirts or hats or something to distinguish yourselfs) and start looking into hosting a tournament. Just build up all the momentum you can and get interest and participation from as many students as possible. Talk to the school newspaper and see if you can get a story run about your club.
Most schools have a way to start a club and possibly get money from the school, or student body. You may not get the cash right away, but keep petitioning for it. The more visibility you have, the more students you have and the more stuff you do will all get you more money. It will probably take a crapload of time, so putting together a cabnet of dedicated people together to do the work may be the easiest thing to do. Just make sure they're willing to do the legwork.
Getting other schools to start up similar clubs will probably depend on how successful you are at hosing your own events. I'm not sure what the best way is to get other schools to attend really is, but find out how and do that. Also, make sure your team attends any tournaments that are hosted at other schools and make your presence known.