I have a 2012 F250 GAS 4X4 3.73, and as I write, I am more than 3000 miles into a trip from Indiana, to Denver, to Tahoe, to San Francisco, and currently in the Yosemite area. I'm pulling a 5th wheel that weighs a minimum of 11K lbs.
I've gone up and down 7 degree and even NINE degree hills, and I have had NO problems pulling the trailer up the inclines. Yes, it does shift down to 2nd gear going up or down these bigger hills, but I'm used to it. No big deal. In fact, I'd far rather be going UP than DOWN, as 7 to 9 degree slopes run the rpms's up going down, and once I pulled over because the brakes on the truck were smoking. I upped the braking number, forcing the trailer to do more braking, which seemed to eliminate the smoking on the truck. But I still like going up better, I like the feeling of control.
BTW, regarding mileage: I have found that using a better grade of gas, like 89 octane instead of 87, shows noticeably better mileage. I had always heard that an engine designed for 87 will not run better with better octane, but these electronically controlled engines . . . maybe they tune themselves on the fly to better use the anti-knocking fuel??? Anyone know anything about this?
On the entire trip so far, I am averaging 9.1 mpg. But with better fuel, I've seen close to 10 on a gas tank. I think that is remarkable for a gas engine hauling 11K pounds behind it. I was actually showing 10.4 from Sacramento headed south for 120 miles on very flat roads . . .