The previous recommendations offer some good options.

I did a 5-day trip with my 30-something son & son-in-law a couple of years back.  We entered at Beaverhouse (checked in the day before at Atikokan to bypass the Ranger Station on B'house).  We paddled into Quetico and stayed 2 days.  On day 2, we mostly fished and took in pictographs.  Then we moved to Kasakokwog for another 2 days.  Fished around on our arrival day and did a day trip to Cirrus to do more fishing, hit Sue Falls and the picto back west a bit from the falls.  (The Kasa to Cirrus portage wasn't bad as a day-trip ... a bit longish but I didn't think it deserved its reputation.  The only issue we had was negotiating deadfall in a couple of places.)  Next day we went thru McAlpine and continued east to Batch for the last night out.  (The portage after McAlpine was a bit of a mess, but maybe its been improved since then ... did a little bushwhack due to a tree that was obstructing the trail after a short beaver dam paddle.  If you go this way, stay in the creek after you re-acquire the trail beyond the beaver dam rather than do a mostly pointless up-and-down.)

Then from Batch, we paddled to Nym for our take-out.

dd