All levels. There is no AAA in association hockey, AA is the highest. Your AA teams may travel a little further because there are far fewer teams, but nothing like everywhere else in the country. Most smaller associations don’t even have a AA team. They’ll have an A and multiple B and C level teams.
For example District 6 Bantam AA plays a district schedule of:
Osseo Maple Grove
Edina
Minnetonka
Chaska Chanhassen
Shakopee
Wayzata
Prior Lake Savage
Eden Prairie
Jefferson
Most teams (AA-C) will play in about 3 tournaments a year in addition to the district schedule. 2 local (metro) and 1 “out-of-town” (2-4 hours away).
AAA is spring/summer hockey and is more like your AAU model of off-season Basketball and Volleyball.