runningrat;
Not trying to be rude here but I think you are attempiting something stupid. Pysical prowess is no substitute for climbing knowledge or experience. The route to muir can turn into icy white out conditions very quickly, even in summer. Could you have navigated your way down in those conditions? The Muir snowfield does sometimes develop cravasses. Could you rescue one of your buddies from a cravasse with the gear you had? I would say you would be fool hardy to do any mountain snow travel without crampons and ice axe, and the total knowledge of self arrest.
Please read a recent post in Mt. Hood Rescue, why not go up... by billcoe. While this peticular event had a happy ending, many do not. Read up on climbing, hypothermia, accidents etc... then make your decision.