That is a good time to do some scrambling for sure. West Ridge of Columbia with a camp at Twin lakes would be a good two day adventure. Crater would be another with a camp at Crater Lake. Thornton Peak is a good 1-2 day scramble, but permits can be hard to come by. Corteo, Tomyhoi, West Ridge of North Twin, Del Campo, Vesper, and Sperry would be good one day options. None will have much snow to contend with at that time of year.
You can buy copies of the Green and Red Beckey guides to provide info, or search the web for TRs.