How did you set up the WDH? Did you adjust it based on front fender height or by going to a scale? Did you adjust the spring bars as per the WDH manufacturer and your TV manufacturer's spec? If it were me, I would revisit the setup and confirm it is all okay.
I would say 11% TW is on the light side but it's not that simple to raise it, unless you travel with a full holding tank that is forward of the axles. 11% is on the low side of typical. Ours is near 15% and we never have any sway issues. There are no problems if TW is over 15%, but being under 10% is a big problem for sway and handling and is potentially dangerous.
What rating are the spring bars? You should have 1,000 lb, if that's what Husky has, or the next available size.
Were the TV and TT tires set to the correct pressure?
What condition are the shocks like in the TV? I *think* a decent set of shocks (Bilstein HD, ex.) would help to make the TV more stable and controllable. We now have shocks on our TT and it makes the TV and TT a lot more stable because the tongue doesn't bounce up and down like it used to.
Did you add stuff in the bed of the truck aft of the rear axle and remove some weight off the steer axle? Combined with insufficient weight transferred to the steer axle by the WDH, this could make the front end too light.
I would go to a CAT scale and weigh everything using the three different passes that are needed. You can fine tune the WDH there based on actual weight transfer to the steer axle and TT axles.
Perhaps a photo of your WDH setup while connected to the TT might help?
Going to a Reese dual cam WDH may help as it is pro-active and has a self-centering action. Around $500 if you shop around. This WDH is really good but is a bit finicky to do the initial installation. You shouldn't have to pay thousands on a WDH to cure your sway issue - something else is wrong.