Motorhome sways a lot going around a curve or when cross Wind hits it

Shock absorbers reduce a vehicle's tendency to bounce. Excessive swaying is the result of sagged springs and/or broken anti-sway bar links. Start by inspecting the anti-sway bar for broken links, then measure the ride height to see if the springs are weak. All tire and alignment shops have books that list the height specs for every car and light truck, and where to take those measurements. For a motor home, you might have to visit the dealer, or a shop that specializes in large trucks.

New shocks could help but if the mileage you list is correct I doubt they are the issue unless they rusted enough to lose the fluid inside. I would opt for a heavier sway bar and links, there are ones made for RVs that are heavier than the OEM units, Check both front and rear. Just realize that you are driving a big heavy box that will try to dance in the wind, just the nature of the beast.

Please let us know what happens, we are interested to see what it is.

Cheers, Ken