I actually already have the wheel dollies, which I use to push the car around my garage.
If you already have the wheel dollies, then I'd suggest adding the MM K-frame support that I listed. Plus, it'll help the k-frame - not much for a stock k-frame.
But, if you have the MM support, you can use
TWO 4x4's and the dollies. Make the 4x4s about the same length as the tire to tire width.
I would do the following:
Brace with THREE 3/8" holes.
4x4 #A Use 3/8" rod to go through the 4x4 to the brace. Trim the rod end after the rod is bolted to the 4x4. Use washers.
4x4 #B Press against #A to get location of the nuts. Take down, counter-sink those impressions to allow for the nuts and the 4x4's to sit flush with each other.
Get TEN decking screws (8") that are inserted by a drill and have a hex head. Home Depot has them. Secure the 4x4's to each other.
At the ends of the bottom 4x4, mount the dollies.
That will result in a very safe and stable platform that will be easy to move. Also, it's easy to do, not expensive, and you can get everything you need at Home Depot or Lowes. You already have the dollies.
So, I'm thinking of something like what follows:
Code:
BRACE
***********4x4*************
***********4x4*************
Dollie Dollie
As Mustang5L5 said, you have to consider the loads on the wheels as the car body is pushed. Those original casters you referenced are just asking to fold over, break, have bearings crushed, etc.
I think you have a lot of options, especially since you already have the wheel dollies. For now, my best suggestion is to use a 4x4 on top of the wheel dollies. I like two 4x4's for a couple of reasons. They get a better height for the front end, and they offer plenty of support. Using just one 4x4 gets into a number of issues. One is the flaws that are in any single piece of wood. That's why laminates have
some benefits verses solid wood.
Good Luck!