MOA is right on the light rail line from the airport, shouldn't be more than a 5min ride.
There is so much to do there, sadly no ski shops, but there is Oakley, they usually have goggles and outerwear. There's a theme park, aquarium there and a waterpark close by. There's also any resturaunt that you could really want and a movie theater...and lego land.
Ikea is near by...you could sleep there
Downtown is on the rail line as well, lots of shit to do there...its a city, there's pretty much anything you want there. Just search for concerts or clubs or something.
If you can bum a ride (and some skis) over to east St. Paul you can ski on Summit Boardshop's dry slope.
Thats about all I can think of thats really within distance for you