You could try hiking up Bishop Pass. You wouldn't have to go the whole way. After a few dusty first miles, it's all pretty lakes, one after the other. It would be up hill all the way in and downhill all the way back, but it is the mountains after all. I think it's about 6 miles from the trailhead to Bishop Pass, so you could hike in a few miles to a nice lake, make camp and do a dayhike to the Pass for the full High Sierra experience.
You might also consider hiking in to Cottonwood Lake. It's not a particularly strenuous hike and it's in pretty lodgepole pine forest to a nice lake. If you are feeling like a strenuous dayhike, you could then climb Langley Peak from there.