June can be a great time to fish the hexagenia mayflies that come off the lake. They are HUGE and the cutthroat key in on them. If they are on the bite you will know, as they show themselves. Every now and then you will encounter a cutty of about 18 inches, but most are between 10 and 14. When they're not on the dry, I often strip sculpin patterns in shallow water, they take them on a very erratic strip. When fishing like this we also catch the occasional bully, rainbow, whitefish, and northern pikeminnow.
I know very little about fishing the deeper water for dollies, but some do it with success. Also if you're not a flyfisher, casting or trolling small spoons or spinners works well. Several guys do this near the outflow.
If youre no familiar with the lake be careful for the shallows, the tides, and occasional heavy water.