Olancha Peak is great hike. It is similar to Whitney in distance and vertical gain, just 2300' lower. It usually has less snow and melts off faster than the peaks further north, but I am not sure of current conditions. It looked like it had now above 10,000' from 395 2 weeks ago.

I would hike Mt. Baldy from the village. Are you prepared for snow or icy trails? There will still be snow and ice to deal with in early June.