We had a, maybe, 2" Nylon rope that was excellent for pulling the Land Rover out of the mud.
I suppose a strap will stretch, maybe as much as the rope, but in either case the trick is to gently take up the slack before adding power.
By the way, somewhere, sometime, I saw "add-on" tow-hooks you bolt to the chassis. Using existing holes if memory serves.
Ask Brad Bergholdt, the car columnist, on Facebook. He has a Chevy truck. In Alaska.