tow/haul
I just traded a 2005 F-250 with the 6.0 and the TorqShift. With the TS, when you press the Tow/Haul button on the end of the shifter, it does a few things. It changes the shift points in the tranny to hold gears longer when accelerating and downshift itself when decelerating. It doesn't really send the truck into a "low mode".
The purpose of the change in the shift points is to help the engine stay in its "sweet spot" longer when climbing hills while towing in order to try to maintain speed. Conversely, it also downshifts as you're decelerating or coming down a hill.
As far as any speed requirements go, there are none that I'm aware of. I've used my T/H mode at low speeds, high speeds, and all speeds in between. The only speed sensitive components I'm aware of with regard to that would be the ESOF (electronic shift on the fly) 4WD. It is generally recommended that you not shift into 4WD at speeds any higher than about 55 MPH. I've used my T/H mode pulling about 8,000 pounds of mulch and climbing a steep hill on a two-lane country road and it was great. It held each gear right where it should have and downshifted flawlessly coming down the other side. I've also used it towing a car and trailer at interstate speeds in the mountains here with the same results.
One word of caution though......if you're driving in 2WD in the snow, make sure you've got the Tow/Haul disabled. If not, you'll find it downshifting and as soon as it does, you'll find yourself sliding around with the back wheels and trying to play catch up with the front as it downshifts. Believe me, I know.

Just to clarify, the button on the end of the shifter stalk is for the Tow/Haul mode in the transmission. The switch on the dash (if you have it) is to engage the 4WD. It doesn't matter what speed you're traveling when you hit the Tow/Haul button......it will just tell the truck's computer to change the shift strategies. Shifting into 4WD should be accomplished while traveling no faster than 55 MPH.
Hope that makes sense.
DEB D
Best of luck getting things straightened out on your truck. If you have nay questions about the truck itself, drop down to the Super Duty forum and post a thread about it. Likewise, if you experience any engine problems or have any questions about your specific engine, drop down to the forum index page and find the forum that pertains to your engine. From there, select the correct forum and ask away.
If you ARE towing something that has trailer brakes and you have to make an emergency stop, you will instantly realize how nice this feature is!!!















