Never ever a good idea to tow a car backwards. The caster settings in the front wheels are designed to re center when going forwards. Pulling them backwards puts terrific strain on what every you are using to hold them straight. The front wheels will want to turn around backward, which they can't do.
You can see this affect on grocery carts. Push the card forwards and the wheels center up, straight ahead. Now pull the cart backwards and the wheels will spin around. It is how the caster is set.
Pulling your S10 backwards is asking for a serious problem.
Paul, Kathy, and Tux a 4 month Mini Schnauzer
2014 Tiffin Phaeton 42 LH, 2013 Honda CRV
"When the time comes to look back, make sure you'll like what you see"