The route was, broadly speaking, a figure-eight tour of America and Canada, starting and ending in Minnesota.
This was my actual path:
Each of those little red pins marks a place where I spent at least one night.
Here is a collection of Google maps showing my actual path in great detail. (They are split due to complexity limits.)
(UPDATE May 22, 2016: It seems that Google has changed some things over the years, and these detailed maps no longer correspond precisely with my route. I’ve noticed particular problems along the Pacific Coast Highway, where the maps show me going inland but my actual route was closer to the coast.)
If you’re curious, you can also see the places I played hockey in list form. That list also includes dates, so you can tell, for example, that I flew to Hawaii from Virginia.
The plan was to spend the warmer months in the northern states and the colder months in the southern states. That approach let me minimize my exposure to both snow and extreme heat. It also improved my chances of finding hockey: it was hard enough to find ice arenas in Mississippi, let alone in the hockey off-season.