Another option would be to head up toward Yosemite Park. There is some great hiking/climbing around Saddlebag Lake. You could climb up North Peak for instance. Approx. 9 miles round trip with approx. 2200' of elevation gain. See link for R. Gervin's trip report: http://rgervin.com/photos2012/20120828NorthPeak/thumb.html

Of course you could also drive into Yosemite Park. Many, many hikes available to suit your needs.

The Mammoth Lakes area also has many senic hikes. Ediza Lake is quite nice. See http://www.whitneyzone.com/wz/ubbthreads.php/galleries/29527/Pictures_of_Agnew_Meadows_to_L#comments for pictures of this hike.

Enjoy your visit.