"Everyone" leaves their stuff at Trail Camp and it is safe. From there, just take the essentials: Proper clothes, some food, water, crampons and ice axe. Right now crampons and ice axe are a must to climb the chute from Trail Camp. Crampons for going up, ice axe for coming down. I hiked it last week (6/23-6/24). You will also walk through snow in several places just getting to Trail Camp, but no need for crampons. Read my report for more details.

Good Luck!