If it's a lot of short up and down, I let gravity do the acceleration and deceleration just keeping the speeds reasonable (try to keep it below 70mph and above 50mph). This also helps avoid a lot of downshifts. You feather the throttle on the uphills so it doesn't drop out of top gear.
On longer or very steep hills, that doesn't work. Also, you mention desert...how hot was it outside?
Newer transmissions can lock up more gears, so it's less of a problem.
I'm guessing you are significantly heavier than 5600...empty is 5000 for your jayco. GVWR is 7500 and most people find that's closer to where they are in real life. Add in a load inside the suburban and you were likely pushing the truck to it's limits, so not surprising if she was running a bit hot.
