With the exception of mountain climbing, you can enjoy just about every conceivable outdoor activity in Minnesota [1] and then some. The hiking, paddling, and fishing are world class, and Lake Superior even attracts a handful of surfers year-round.
Links:
[1] http://www.moon.com/destinations/minnesota
[2] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/hiking-and-backpacking
[3] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/camping
[4] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/biking
[5] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/rock-climbing
[6] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/canoeing-kayaking-and-rafting
[7] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/bird-watching
[8] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/fishing
[9] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/hunting
[10] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/golf
[11] http://www.moon.com/destinations/minnesota/essentials/outdoor-recreation/winter-recreation