The tire idea is a bad one, especially if the bumper cover(s) don't have a solid backing, like aluminum or iron. Most with foamcore will crush and/or crack, making for a costly repair.

Most vehicles have recovery points front and rear, so you can put a chain hook on the loop or strap, or simple hook on the frame, but check for good clearance to the front air dam/splitter. Many times you can put the strap through the lower bumper cover opening. Also, look on the front and rear bumper covers for small round or square removable plugs; take the plug off and there is a threaded receiver behind it that a threaded rod with a loop will screw into. Some cars come with the rod wherever the jack/spare are kept.