Wish I had pix of the frame I welded up to achieve the same (except in steel), I made a steel rectangle that held the front 2 jack stands and another for the rear 2.
Then used 1-5/8” strut to link the front and rear rectangles.. casters were on the frames. I then strapped the frame down with allthread rod, and later with the body and drive train in was able to winch/pull it on a trailer to deliver to the race shop for sway bar fabrication.
You could achieve the same in wood…….