Do the low or no cost checks first.
Is the tire inflation set to the weight of the coach? Pressure shouldn't be higher than what is listed on DOT sticker. I ran my pressures up once playing around and at 10 or so PSI over I couldn't hold lane position.
Also as part of the weight check you want to balance as much as possible front/rear weights. Limited front axle weight may reduce steering authority.
Have the alignment check, in particular the tow set up. Have the tech set the tow as far IN as possible but stay within the Ford specs. If the front end is on the edge of tow out the steering can get twitchy and want a high degree of attention.
The cheap handling fix (CHF) will help, cost nothing but time.
A Safe-T-Plus or such may help but the problem is the rear end and as such you'll be chasing a symptom not the problem.
A rear track bar at the end of the cost range will tame tail pust from passing trucks and weather.
My coach is 32' built on a 18K lbs GVWR, 190" wheelbase chassis. 1/3 of the house is behind the rear axle along with all my liquid loading and my largest storage area. Wind push was a factor to the extent that I had to input as much as 45 deg of steering offset once to maintain a straight line in heavy sustained winds. CHP helped but the addition of a rear trac bar pretty much tamed the coach. Wind push is still there but hardly noticeable. The dynamics are too much to eliminate completely but a trac bar really make any movement very manageable.