Well, I'll bet your 1500 was overloaded over the payload capacity, even though it had enough oomph to pull that 7,450-pound TT. But your new 3500 dually will have no problems in towing that trailer without exceeding the GVWR of the tow vehicle..
That 2800 BH has a small space under the bunks to haul a bicycle or two, but probably not a golf cart. So are you planning to trade for a bigger toy hauler, or tow a second trailer behind the 2800 BH?
Grumpy ole man with over 50 years towing experience. Now my heaviest trailer is a 7,000-pound enclosed cargo trailer, RV is a 5,600 pound Skyline Nomad Joey 196S, and my tow vehicle is a 2012 F-150 EcoBoost SuperCrew.