my trailer is a little heavier.. 5200 dry weight..6800 max loaded, so still under my tow capabilities. mainly flat land towing. I choose to stay with 1/2 ton truck as it would have to be my daily driver too. I did when I first got the truck feel a little squiqqly feeling, but have figured it out. My truck has P series tires with a soft sidewall. It makes it a very good riding vehicle for my daily commute, but lacking a little for towing. I discovered that adding air to the rear truck tires (from recommended 35 to 42ish) made the truck feel a lot firmer when I have the trailer in tow. When I bought new tires, decided to go back with same tires, since I put a lot more miles commuting that towing.
do some research on tires and weights and make your decision based on what YOU need and want, not what the "forum gurus" say you need. Not trying to talk bad about these folks cause they have been very helpful to me, but sometimes the answers don't really fit.