I run Bilstein 4600 HD’s coil overs up front and love them. The valving in the Bilsteins makes a huge difference compared to stock. They are very firm when needed but still provide a very complaint ride. I too have Air leveling in the rear and still run the factory air shocks but installed Moog HD coils. Truck is planted when towing. Shocks will have some effect when towing but coils or in your case leafs is what make the difference, especially when using a WDH. I would install a more robust set of springs and either delete air shocks and install conventional shocks or replace the shocks with OEM. New springs and Air Shocks will give you the best of both worlds. The bouncing your experiencing is from worn springs more than anything. Like another poster indicated Bilsteins with more dampening like 4600 HD would work much better.