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.