First of all, it's not a Raynor. The school claims it was designed by Tom Vardon. There is a Raynor across the street called Midland Hills Country Club. There are two other Raynor courses in town: Somerset Country Club and Minnesota Valley, all three Raynors in town are private.
About the U of M course: It is also a course that at 6,100 yards is a wedge fest. And there are too many trees. I just, frankly, don't think it is all that exciting. And pace of play can be brutal at times.
In terms of MSP publics, I would list all of these ahead of it.
Troy Burne, Stone Ridge, Legends, Rush Creek, Wilds, Keller, Bunker Hills, Braemar, Chaska Town Course, Edinburgh USA and Refuge.
As someone who thinks golf in the Twin Cities is pretty darn strong, I can't let you play essentially a muni as your only round here. The U of M course (I'm an alum), isn't like Michigan or others where you have to have some sort of tie to the school. Nor has the school spent significant money to keep it top notch. While the folks out there work hard and do the best they can with the resources, it simply is underfunded and the course has been impacted by that. I would venture to guess that the greens have all had significant shrinkage and there are certainly angles that are no longer available.
If you want to play an old-school public course, I would recommend Keller, a former PGA Championship site.
That said, I know there are people who post on here regularily that have access to better spots. And like I said, worst case, you can come out to my club and we can knock it around. It's not a top line club in town, but it has been a frequent USGA qualifying site and we're hosting the Minnesota State Amateur in July.