Weight distribution hitch for lifted truck

If it only gave you some sway with the strong winds, but towed fine otherwise, it's likely tongue weight and alignment are ok. The 35" tires with I assume aggressive tread probably contribute to the unstable condition in the wind. A 2003 F250 I think has a 500 lb dead weight, 1,000 lb WD rated receiver. A 7k lb trailer is going to likely have over 900 lbs of tongue weight. I would recommend a WDH to satisfy the weight rating of the receiver and sway control for the wind. My choice is the Equalizer 4-point. But they are noisy. I keep mine quiet with grease on the ball, at the sockets and a dab on the L brackets. With only a 4" lift and 35's, the standard shank "should" have enough drop. Just my humble experience.