I did a trip from put-in at 3 mile to Wolseley, up thru Bearpelt Creek/Omeme/Badwater, but went into Sturgeon and up thru Jean Lake and out at Beaverhouse.

Depending on time of year/water level, paddling Upstream on the Namakan can be a problem. I went in May, and on the ride over to put-in on Mile we crossed the Namakan River. In those high water conditions, they're was no way I would attempt a solo trip upstream, and even seasoned tandem paddlers would of been at risk.

Why not let the current work for you, at least on the Namakan. Quetico river shouldn't be a problem, at least you have portages.
Early start on Beaverhouse and you'll be on Badwater mid afternoon. Stay the night and head into Omeme. Couple of nice campsite there. Check out my trip report, I described my camp spots pretty well.  Look on Q-PCD, you'll see plenty of known campsites or potential ones. Omeme/Bear Pelt get little usage. Waldo fishing is excellent in there.
Bearpelt creek should be a nice little float trip down with a few pullovers.

Coming out out on Wolseley, there's a nice campsite due east of the portage into Bearpelt creek, on a point. You can see it from the water.

I'd say one long day from Wolseley to W. Beaverhouse going with the current. A few nice campsites on  W.Beaverhouse or you can paddle down toward  takeout and find plenty.

Depending on time constraints/weather, I think this route would accomplish the same thing but give you a little more wiggle room if needed ;)