Air bags are like supplemental springs, they work alongside the factory springs to help resist body motion and therefore can help to stabilize the ride. You dial in how much additional stiffness by what psi you run the bags at. You can keep them at nominal 5 psi when not towing and dial them up to take some of the bounce out with the trailer hitched.
It's common to use air bags to help level a rig, but that's not all they're for...
Try the Rota Flex hitch first, that may be all you need. If it still chucks more than you like air bags will probably help.
