Theoretically you could do Pickeral/French with no portages except from the parking lot.  Stanton is a mild portage to the water same with BH.  Lerome has a few shorties until you get to Sue Falls and eventually into Quetico.  From Lerome, Bewag is a nice pass through lake with some nice nooks and cranny's away from the main part of the lake and some decent campsites that offer privacy and a only a crown land permit is required.

I might also suggest some of the crown land north of Atikokan; i.e. Dashwa, Crow Rock and that whole White Otter area.  Closer to blacktop in case you need to get the wee one out of the wilderness in a hurry.