I believe you'll have to add something like traction bars used on drag cars to stabelize the housing relative to the frame. As I recall my 48 half ton had a pivot point at each spring with a rubber bushing. Absent the torque tube the housing can wind up on acceleration. I had a 53 car with a Pontiac rear end bolted solid to the springs and a '53 331 Cad engine. Under hard acceleration the housing wound up far enough to break the u-joint yoke. I added traction bars, sometimes called radius arms, and that cured the problem. The springs weren't strong enough to hold the torque by themselves. The situation is worse with the torque tube housing because of the pivots.
