I went to a group leaders event at the park tonight. Ate dinner right there in the locker room. Got a mini-tour.
We could rent out one of the smallest private rooms for a mere $850, which includes 36 tickets. And BTW they are as far into the outfield as you can get. And food is extra. While the Red Wings offer several other picnic/group area alternatives, I think our best bet will be to just get game tickets and do some Bills-style tailgating beforehand.
Tickets go on sale 3/18.