Get a hold of ( or make ) 2 sets set of tow truck dolly wheels, ( not a 1/2 trailer tow dolly ) this way you can move the car without a wheel turning.

These are made from two 8" rim trailer wheels per side and two bars that go across to the other side of the car. Pretty pricey to buy but something could be whipped up to get the job done. Tow Dollies - Self-Loading Dollies and Speed Dollies | AW Direct