Hi Jon. There are some great day hikes in the Dinkey Lakes area. It's about 6 miles from the Willow Meadow trailhead on the Dinkey Lakes Trail to Dogtooth Peak. On the way you pass Dinkey, South and Rock lakes. The view from Dogtooth Peak is amazing. If you want to make it a 6 mile roundtrip loop just head south/southeast from the Mystery Lake Trail jct. and head back towards the trailhead. A vehicle with some clearance is recommended on the final road to the trailhead.
If you're ok with doing some offtrail hiking it's possible to get into much more beautiful wilderness IMO. From the Willow Meadow trailhead follow the Dinkey Creek south. There are waterfalls, pools, fishing and a few pristine meadows. After about 2 miles the creek forks downstream to the east and upstream along the South Fork. I like the South Fork area as it is a huge granite wash with water flowing throughout the cracks and creating pools and waterfalls along the way. Total wonderland. After about 2 miles up the South Fork is Virginia Lake which is surrounded by walls of granite. If you have more time the S. Fork leads to Betty Lake and eventually Sportsman Lake after another 2 miles. The climb to the top of Nelson Mountain follows a gradual slope on the north side and is worth the effort (the other side is steep climb up a boulder field).
I was up in this area a few times last summer and saw nobody for days!
There are several other 'secret spots' in this area that have amazing waterslides, domes, pools and waterfalls. I've been going to these offtrail areas with a group every summer since the mid 90's. If you're interested here's a link to some photos of the area: