Electric "stabilizer" jacks? Hahaha.... :B7 Bounce/movement is a common problem with these.
You need stabilizer struts for the "stabilizer" jacks. We have the electric stab jacks too. They flex and move around way too much plus the foot pads are too close together when extended. I installed a pair of BAL Lockarm struts and they help quite a bit. I mounted the upper ends to the underside of the bumper which also gives some fore/aft control. If you add stabilizer struts, you will need Lippert's adaptor kit #314597 so that the struts won't hit the stab. jack.
You can buy just a pair of BAL Lockarm struts which are cheaper as most or all of the others come in a set of 4. It's my feeling that just a pair at the rear will help the most. If you find that you want a 2nd set at the front, you can just buy another pair of the Lockarms. Stabilizer struts will reduce side to side movement and vertical movement at centerline of the frame but not rotational movement.
The first line of attack should be some chocks to prevent the wheels from moving. We use BAL xX-chocks.
Adding a pair of aluminum stacker jacks or bottle jacks just ahead of the axles can help for frames that flex more or for longer frames.
Adding an aluminum stacker jack or bottle jack at each of the four corners of the frame can help. We bought a set of 4 aluminum stacker jacks and tried them a couple of times. Didn't help as much as I expected in our case plus the time and effort of setting them up every time isn't worth it.
Entry stairs contribute to movement due to leverage. Watch one of the electric stab. jacks while someone walks in and out and you will be surprised at how much the jacks flex and move around. There is a bottom step stabilizer available. The better thing is a set of Torklift's Glowsteps which make quite a difference but are costlier - we now have them and they are great.
The last point is that some frames are a weaker design and flex more for that reason alone. On top of that, some TTs have floor joists that are too far apart for the thickness of subfloor that is used. We have some friends with a Keystone TT and when they walk around, the floor moves up and down quite a bit.
Sometimes there's just so much you can do without a lot more time and expense and it's better to call it good enough.