climbing in idaho??

hello! im going up to college in idaho next fall and i'm wondering if anyone knows of any rock climbs or possibly ice climbs . Ill be staying at badger creek in the fall, and then in rexburg(20 min. north of idaho falls) from winter on. whether its bouldering or sport routes or even potential climbing. Let me hear if you know of any areas or helpful guidebooks!! P.S. Rexburg is about 30 minutes from Yellowstone national park. so climbs on the southwest side of yellowstone are helpful too. thanks! -michael