I pull a 35' 9k dry, 11k typical filled with my 12' f-250 and I have the Anderson. I would love to get it on the scales, but I really think I dont get enough weight to the front axle as the rear sags a good amount. I have Air Lift 5000 bags, so that helps, but it doesnt transition weight, only ensure that I dont bottom the suspension, improve ride feel, and ensure my lights arent up in the sky. I too would love to at least try the Equal I Zer hitch or BLue Ox, but alas, not sure where I could demo one really.
I cant really speak to the bounce, as I know it happens occasionally, but I would really need to try one of the other hitches you mention to say if it is normal, or what with the Anderson. The previous hitch I had was a standard bar setup from etrailer.com and the trailer was 4k dry 25', and pulled with a '15 F-150 and it pulled like a piece of cake. apples to oranges in size/weight.
