Tim,
It sounds like your kickdown cable is out of adjustment, since this problem occurs with the trailer on while climbing hills taking it back to your dodge dealer or a technician will not prove helpful unless it is PCM or TPS related.
When customers come to our shop one of the things we teach them is how to do a kickdown cable adjustment simply because it varies between a loaded truck and an un loaded truck.
Keep in mind it will also vary with hp, since yours is a 2001 truck the adjustment is very easy and requires basic tools.
#1 Phillips screwdriver, (a stubby one)
med size flat slotted screwdriver
and one friend
what we are going to be looking for is a one to one movement between the engine throttle and the transmission kickdown cable.
As the person in the cab starts to step on the throttle , the kick down cable at the transmission should start moving.
At full throttle in the cab the kick down cable at the transmission should be all the way back with only about 1/16th -1/8th " left.
In other words you should not be able to move lever on the transmission back by hand more than 1/16 -1/8",
3/16 is still ok , 1/4-1/2" is not acceptable.
A little side note for you 12 valve guys , this is also a good way to check and see if your engine throttle cable is stretched.
24 valve guys- in order to adjust your cable undo the 2 phillip screws that hold the black plastic cover in place.
The plastic cover is located just above your fuel pump.
Press very gently on the plastic screws, if you apply too much pressure you will not be able to undo them.
There are 3 cables going through the bracket, the bottom with the white retainer on the back side is your kickdown cable.
To unclip the plastic clip, simply hold the throttle lever firmly with one hand so it doesnt move and then with the other hand slip the plastic part of the kickdown cable forward and it will unclip from the fuel pump throttle.
With a flat bladed screw driver squeeze in one of the little fingers that lock the cable into the bracket, at the same time lift in the direction you are squeezing the finger from. Repeat the same proceedure for the other side.
A lot of guys find it easier to use needlenose pliers to squeeze the fingers.
Bring the cable to the master cylinder it is easier to make the adjustment there.
Mark your starting point on the kickdown cable before you make any adjustments, bright colored nailpolish works really good.
Remove the white colored locking mechanism adjusting the cable forward(more slack) will make your transmission shift earlier,
Moving the cable back will make your transmission shift later.
I will see if i can get stefan to post some pics on monday to make this a little easier, it is much easier than it sounds.