This sounds like an application for one of my new favorite things the planetary screw.
duckduckgo.com/?q=planetary+screw
Load balancing would not require fast reaction. Countering corner forces would.
I'm reminded of Bucky Fuller's Omnidirectional Transporter. It had a two-piece (later three-) frame so that when the two front wheels were hammered the Ford V-8 bounced up and down, but the passenger cabin rode in the rocking chair.