IMO, the landscape gets prettier the further north along the lake you get. We like Pancake Bay PP if you can get one of the sites with no one between you and the lake. Further North, Lake Superior PP has some nice camping too, and beautiful hikes (Orphan Lake trail goes out to a gorgeous pebble beach, as well as the very picturesque and neat Orphan Lake (which sites quite a lot higher up than Lake Superior) as well as back-country kayaking and canoeing. We like the back-country camping on Lake Mijinemungshing. It's also fun to say. Mijinemungshing.
Personally, I'd give White Lake PP a pass... The park and lake were nice, but there's not much hiking and I didn't much appreciate being blasted by super loud music from one of the First Nations houses across the channel from the campground. However, I would stop in White River itself and make some pottery if the paint-your-own pottery place there is still around.
Obatanga was closed a few years back, and is one of the few parks that stayed closed. That's unfortunate because it also had some good back-country kayaking and canoeing. Alas...
Pukaskwa NP is further up, near Marathon, ON. It's one of our favorites, both for the hiking as well as the beautiful beaches. (We also like Marathon itself, although it's not entirely clear why. Nothing really unique about it as a tourist - just a friendly town.) The campsites don't have beach or water views though.