You could go that route, but I would want casters mounted to plates that would bolt to the bottom of the wood.
Car Skates are the 1st gen curved metal plates with 4 casters on each corner that you can place under the cars tires so you can move a non-operating car around. Makes for a much more efficient use of garage space.
The Car Skates were very useful before I stripped the car down to the body and afterwards before I got it running. The Skates have holes in them on the end that allowed me to attach them to the 4x6's. I see the place I attached has metal frame supports for their skates and single wheel frame suppors that bolt onto frames (or wood supports).
2012 Mustang Boss 302 #1918, Competition Orange. FGF replacement 2006 Mustang V6 Pony, Vista Blue. Factory ordered. 2019 BMW X3 (Titled to the wife, but I'm always driving it for her. So I'm claiming it) Old projects, gone but not forgotten: 1967 FB 400, original CA car. After 22 years of work, trashed by the guy who was supposed to paint it. I had to sell it. 1980 Turbo Trans Am 1970 Mustang fastback, 351C 4Bbl, auto 1988 Mustang GT, 5 speed 1983 F-150 4x4, built 302 1994 Chevy K2500 HD 4x4, 454 TBI