I don't know if they still do it, but you used to be able to get tickets for really cheap if you showed up and presented your college ID the day of the game. Ive never actually done this, though, so maybe someone else can chime in with a little more knowledge.
If you check the Red Wings twitter page on gameday, they will often announce that the game has is open to military and student rush and for most games the tickets are $15 for the upper bowl and $40 at the box office or $5 extra if ordered over the phone. I've done this for the past 5 games I've gone to and it works well because you get a darn good seat most of the time.
I don't know if you bought the tickets yet but check some 3rd party ticket websites, they can usually offer a better deal because $35 for that section isn't the greatest deal.