I think you might have a combination of issues here. I'm thinking you need to better adjust your wdh and load more weight on the tongue. You are saying sway and bouncing. So are you having porpoising like movement of truck and trailer? If so that is indicative of needing to better adjust your wdh. Now let's look at your sway, can you describe it better? Is it true sway meaning increasing oscillations side to side of the rear of the tt? Or is it different, maybe feeling light on the front end of the truck and the trailer feels like it is steering the truck? Is it excessive bow wave effect when passed by vehicles on the road? The differences in these feelings is generally related to the root cause of the problem.
I do suggest going to a scale and weighing your set up. This will answer several questions. Weigh everything fully loaded as you would for a camping trip (people, pets, gear etc) and a full tank of fuel. Make 3 passes (can be done in any order). First pass is truck only, no trailer. Put front axle on 1st scale pad and rear axle on second scale pad. Second pass, truck and trailer no wdh. Put both trailer axles on the 3rd pad leaving the truck front axle on pad 1 and truck rear axle on pad 2. For your 3rd pass have truck plus trailer with wdh hooked up.
Now let's look at what these tell you. TV (truck) + tt (trailer) without wdh gross weight minus TV only will tell you the weight of your tt. The change in TV weight in pass one and two will tell you your tongue weight. Ideal tongue weight is 13-15% of loaded tt weight (obtained in above calculation). The last pass will show you how well your wdh is set up. You want your front axle returned To as close to unloaded weight as possible without going heavier. If you see you are a couple hundred pounds lighter than your unloaded front axle weight then you need to make adjustments to your hitch.
This is also a good time to make sure you are within specs for your truck. Subtract the scaled tv weight from the tv gcwr to get your adjusted towing capacity. Take your scaled tv weight and subtract it from your TV gvwr to get your available payload. Subtract your rear axle weight from max RAWR to see where you stand on ability to put weight on it. Now, are all the numbers from weighing within spec ? This will tell you a lot.
Couple tips, bring something long to push the button when weighing. When asked for truck number tell them private vehicle. If they still want a number pick your favorite number. When asked , first weigh or Reweigh, you will need the ticket number from the bottom corner of the page when coming back for reweighs. This is because Cat scale
typically charges $9-12 for first weigh and $1-2 for reweigh in a 24 hrs period. You will need to go inside to the truck fuel counter to pay and pick up your ticket. Last time we did this, we made our wdh adjustments in the parking lot and kept hitting the scale until our numbers were right. Towed well after that. good luck and I hope this helps you.