Well UDM does have research opportunities for students. They have had a couple meetings for students that are interested in research and they are in the process of finishing some research labs. I think they are trying to get more students involved this semester. Good luck trying to find time to do research because you are super busy. Maybe there is more time in your 3rd or 4th year.
I had the same choice between Case and UDM. Both are good schools but UDM won my choice. They do have a newer facility than case. I guess what made me choose UDM was the students and faculty. During my interview they faculty and students took the time to really show me what the school was like instead of a quick tour like I got at Case. It felt like the faculty really cared about the students and the students cared about each other. One final note, Detroit in not bad. There are a lot of cool places in and near the city. There is plenty of stuff to do with the very limited free time you have.
Good luck with the choice!