Just went to tigers.com and found that the Tigers and the Marriotts in the area have a weekend ticket package. You get a room, 4 tickets, and breakfast for two adults and two kids the next morning. The tickets are for the day you check in. For instance, I am heading up Friday, check-in at the hotel, get the tickets, and then take the People Mover (Detroit trolley system) to the ballpark. After the game the people mover takes you back to the hotel and then you can spend the night and eat breakfast the next morning.
Just FYI. Go to tigers.com and follow the "ad link".