edit : Of course just saw ticket exchange.....dohh
yeah, you should be able to find tickets for any game on that board. The bigger games (like Michigan), can be a challenge, in that folks selling are looking for a nice premium, or when a post about tickets for the game get posted people jump on them really quickly. However, if you're willing to take something other than Michigan or homecoming, you shouldn't have much trouble finding tickets on that board.
FWIW, there aren't many tickets listed there at this time. Some folks will start posting them after the Blue-White game. The availability will pick up in the summer, and even more so in the fall.
As you have to make cross-country plans, which can be a challenge, you might also want to look at stub-hub, and some of the other ticket exchanges.
Frequently, the biggest challenge is finding lodging. I've always been able to find something the week of a game, but you have to be really flexible to be able to do so. There are B&Bs that are nice alternatives to the hotels.
Due to your having to lock in flights and lodging, my suggestion would be to pick a game you want to attend, line up the flight and the lodging pretty soon (even without having tickets). The tickets will be available, either on the ticket exchange board or other locations, or at the stadium, but you're unlikely to be able to get them at this time.
Good luck