I would probably be out for 2 days at minimum, so the 32 mile trek would be feasible I think dependent upon river crossings and trail conditions. However, if the trails are too soft it might be a good idea to stay away from hiking all together. I won't be around long enough to do all 46, so would probably be best to hit the most climatic ones while we're there.
I've never been to Minnesota, I think that wherever you are out there will be an awesome wilderness experience! Have fun.