Is Ann Arbor within reasonable Lyft/Uber range of DTW?

Both Uber and Lyft apps allow you to enter both a "from" and "to" location that is nowhere near your current location.

Thus you can simple open the app, enter DTW as the pickup location, the location of your wedding as the destination, and it will give you a price for that journey. This allows you to confirm that taking such a journey is feasible, and roughly how much it will cost - although obviously the cost can vary based on the time of day/traffic/etc.

Looking at the moment, Uber is quoting a little under $40 from DTW to Ann Arbor.

Also consider the Michigan Flyer https://www.michiganflyer.com/

A bus from DTW to Ann Arbor that goes 13x a day.

I'm not a local, but a while ago I worked at Ford and lived in Ann Arbor for a time, so I did that commute every day. Your main gotcha is going to be the state of I-94 (and I-275 as an alternative route). This can be very bad in rush hour. If you're arriving in the evening after 7pm, you should usually be safe.

If you're getting a hotel for the weekend, consider that Ann Arbor is not a small area, and it has limited access to I-94 along the west side. If you want to minimise costs from the airport, then staying somewhere in the south-east or east of the city should make your Uber cheaper. Assuming of course that someone local can give you a ride to the wedding.

Since you said you want personal experience, I have made this trip a few times via Uber while visiting Ann Arbor. It should be reasonable, though my last trip was 2 years ago ($36 at ~8 AM). There can be a large amount of traffic slow down in the morning on a weekday, as Graham's answer indicates.

The pickup time was a bit longer than I was used to, I think it took 10-15 minutes for the driver to arrive at the Airport. I also took an Uber from the hotel to the wedding venue, it is a very common area for weddings so the driver should be familiar with where to take you.

Rent a car for cheap. I was just in Ann Arbor a few months ago. My wife goes all the time. If we are there for only a day, Uber makes sense for a one time round trip from the airport and back. If you are there for more than one day, rent a car. Unless you want to burden family members with schlepping you around, it’s more convenient for everyone. Plus, Ann Arbor is a pretty nice area. And, except for rush hour, the drive is easy. It would be worth the $20-30/day or so as long as you do not have to pay for hotel parking. We usually don’t.