I'll have a day to do some climbing in the Tetons on June 7th and I was looking for a fun and relatively easy low commitment climb to do in a day. How will conditions be on the south Teton in early June? Climeable with just approach shoes? I'm hoping crampons won't be necessary. If conditions are still icey, what's a fun multitpitch rock climb around 5.7 - 5.8?