Along Highway #395 between June Lake and Bishop is Convict Lake. I haven't fished it as we fly fish streams and the Owens Valley area, but I've heard it has some good fishing. There are also a couple of other small lakes on the "June Lake Loop" road.
Across from Convict Lake is a BLM campground; and around the June Lake Loop is a National Forest Campground and a private one which I can't recall the name of... ;D