The chucks on my lathe screw on (but have dogs to prevent then unscrewing when used in reverse).
I have drilled a hole into the chuck, or backplate. Into this Is inserted a piece of round silver steel, which is gripped (not welded) into a boss on a piece of rectangular bar. With the belt tightened, and the retaining dogs removed, the rectangular bar is held with the longer side vertical, and the end hit with a copper/hide mallet. Works every time!
Applying the same technique to a piece of fairly large diameter hexagon, (or square if a 4 jaw) gripped in the jaws should work equally well.
Another possibility would be to cut a piece of wood so that, when resting on the rear of the bed, a chuck jaw makes widespread contact. Spinning the chuck, BY HAND , not power, so that one of the jaws hits the wood, may slacken it. Preferably, the contact between wood and jaw should be as close to the chuck body, as possible.
Howard