Debra1967, when I'm flat towing my Subaru Forester (3,300 lbs with Greyhawk 31fs), I get a lot of sway as well and feel the same as you do about constantly battling steering wheel. I mean a lot. I've had the hellwig bolts tightened to spec (2"), but that did nothing for when in towing. I'm going to try two things.
1. Have the Caster looked at (per a recommendation on this forum)
2. Look into a beefier front sway bar
My only concern is that making the rig better for towing, will probably mess it up when not towing, and vice versa. But I will be towing a lot, so I'm going to lean towards that way. I'll keep you posted.
2015 Jayco Greyhawk 31FS-"Scamper"
2015 Subaru Forester 2.5i Prem. 6 Spd
Blue Ox Aventa LX Tow Bar
2014 Jayco Jay Feather X23B-"Glampy"(Sold)
DW, DS, DDx2, and Bandit & Fletcher