Another alternative, but even farther for someone in MN, is Maine's Allagash Wilderness Waterway.  In camparing it to BWCA I found this:

Crowding: comparable.
Scenic: comparable
Waterways: much of AWW is class I rivers
Portages: far fewer at AWW
Cleanliness: AWW cleaner than BWCA
Accomodations: AWW far less primitive.

AWW has designated sites like BWCA but it has actual outhouses, picnic tables, and tarp poles over the tables at each "cell".  Camping spots may have multiple "cells" with each "cell" having its own table/firepit.  In our trip, each camp spot we were at had multiple cells: 4 nights nobody was at the other cell and two nights the other cell was used.  I neither case did having company degrade the experience for us, but it does lessen the wilderness feel.  Those wanting to insure more wildnerness atmosphere could seek out the single cell campsites.

Rangers are far more active in AWW keeping the place cleaned up.  At some sites, they even cut grass.