Replying to Hitchhiking from SLC to Bozeman

Alright so all my roommates are heading out on Friday morning to Bozeman, MT to visit some friends at MSU. Were splitting up into two groups of 2 and racing there. The weather isn't going to be good, the forecast calls for 15-20 degrees at night and snow. We have 0 degree sleeping bags and tents. Has anyone ever hitchhiked this far before? I dunno I'm just a little nervous. just looking on some imput to wether or not im retarded for doing this. Maybe some tips aswell.