I considered all options.
Ticket (Detroit to Salt Lake) + hotel + Uhaul to tow home($2K) = xxx
Auto shipping transport range $1500 - $1800
Fly there and fix it. Cheapest method. It has too many unexpected outcomes. Not the proper tools, place to work at, blah blah blah.
I can't sell this immaculate clean car. It is too fun to drive. Malone stage 3, Bosio PP 520 nozzles and custom build 6 pucks Kentucky clutch.
No that math is bad.
Based on your profile you already have an available A4.
Not sure your location in MI but say Kalamzoo to SLC is around 1500 miles / 40 MPG = 37.5 gallons each way. Fill up at the truck stop 20 miles west of Larami, WY (I believe it's exit 370 or there about) and then again in Waco, NE
Bosal Hitch $500 (tops) + Rent a tow dolly for a couple days ($300 tops) + Fuel for the drive $300 = $1,100
I'd be willing to bet I've done that drive (while towing a car on a tow dolly with an A4 and a Bosal hitch) more than anyone else on here.
Very doable, get a break controller and a dolly with brakes if you're really nervous but it's totally doable.