I had a 27 footer ultra light trailer, 500 lbs tounge weight. I towed it all over with a 2003 Dodge Ram 2500 for the first year. Then decided to get a weight distribution hitch. It helped in the wind alittle , took some sway away ,which is always safer. You got a beefy truck, it couldn't hurt, but would be your call. I have seen 250 and 350 pull without. As far as you truck seeming to struggle to pull it. Is it running 100%, my diesel tows my Eagle great power to spare. A wind deflector for the truck is an option. Best of luck to you.
2008 FORD F250 FX4 XLT DIESEL
2013 JAYCO EAGLE 314BDS(Ordered)