You can try to find a second hand old TV stand with Casters on it.
Not sure how heavy your TV is but something like this might work. I'd see if I could skip building the top portion to eliminate that shelf.
https://www.wayfair.com/furniture/pdp/wade-logan-antanesha-tv-stand-for-tvs-up-to-42-w010407674.html
or like this since some guy in the comments says he has a 150lb TV on it.
https://www.amazon.com/Furinno-FL-800EX-Double-Casters-Espresso/dp/B014Q2PHC8?ref\_=ast\_sto\_dp