A half ton from the mid 90's is not the same truck in 2015, the newer trucks are huge and heavy with giant wheels and tires, for instance....my 1993 Dodge 3/4 ton 4x4 weighs 6,300 with me in it and full of fuel, I would be willing to say ( don't know for sure ) a new 1/2 tone is as heavy if not more, so in this case they would be the same with exception of payload, but as far as the white knuckle stuff it would make no difference.
what year is the 1/2 tons your are using ? do you have them set up with sway bars and WDH, a 6,500-7,000 lb wet TT would tow fine with a modern half ton with all the goodies, what you are talking about is the seat of your paints feeling, not ( OH I am 250lbs over my advertised max payload ).
if you tow in the mountains, tow at 70mph, take 1,500lb of stuff in the bed of the truck, then you need a 1 ton DRW truck.
If you tow 50 miles to the local CG a few times a year and home a newer 2012+ 1/2 ton will be fine with a sub 7,500lb TT.
I tow very A heavy goosneck a few times a year 19k+ with a 93 Dodge 1 ton DRW 4x4, you don't want to take your eyes off the road as you have a feeling it will take a while to stop, to me this never goes away even when towing my 6,500 lb TT, just an observation for me.