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what if that camp site isn't available? are the alternatives ok?

The campsite due east of that island is a nice one too. Pics of it on the Paddle Planner.
I would have stayed there my FUBAR trip but the landings I saw were to rough for me with my injury.

There are some spots in the western bay that you could make a bushwack camp for one or two people.

If you go during the season, that lake can be mighty busy. A designation lake for many fisherman and lot's of paddlers pass thru too.