From what you and others have said sounds like your golf game is good enough to at the very least give it a college try and more than likely succeed at it. So the real question is if its what you truly want.
I'm no where near your level in terms of golf, but as a fellow Hoosier who has been around the block about 15 more years than you have I doubt there is a single good reason that you shouldn't take the plunge. You have good grades, those don't go away, so unless a dream offer for your dream career comes your way before you do the mini tour thing than you should definitely take the opportunity. And my money is on your true dream career being that of a pro golfer, I know I'd much rather play golf for a living than some gig in business etc.
You'll never know if you had the chops to do it if you don't try, and now is the time to try before you get locked into a career. Like others have said the experience will be worthwhile in and of itself. Your GPA and degree will always be there, no employer will penalize you for taking a year, or even 3 to attempt a pro golf career, on the contrary it will likely open tons of doors for you that would have been closed for you otherwise, great jobs are found through connections, not Monster.com. I don't really see any risk in this at all. If its truly what you want in your gut, go for it!