MH, I also am a fan of Horseshoe Meadows at 10k. There are a number of dayhikes out of there: Trail Peak, Cirque Peak, New Army Pass, Cottonwood Pass, Trail Pass to Cottonwood Pass, Mt Muah to the south, many places in Cottonwood Lakes Basin.
You could stay at Whitney Portal first nite, hike to lone Pine Lake, hang out with Doug, go eat in town, drive up to HM for second and third nights.
If you are trying to avoid the camping aspect, staying in town, I'd maximize time above 10K. maybe third day be a climb of Langley or White.
I can't imagine staying in town anywhere but the Whitney Portal Hostel. Such a chance to rub shoulders with other hikers!
I agree with Bob that sleep is important. VERY. WP is a good place for the last night before arising.