Not saying this is your problem or if it will help, but I'll throw it out there for consideration.
My truck is a K2500 8 lug rims. Yours is a touch different with the 6 lug rims, so there may be some incremental differences in the following info.
My truck is many things, but it is not slow "out of the hole" and definitely not underpowered.
I recently swapped from the stock steel rims to a set of PY0 from a later 2500HD.
The difference in acceleration was very noticeable. I'm now accelerating (empty) with little more than 1000-1200 rpm and leaving traffic behind. They do not drive slow here. I now seldom need to dial in more than 2000 rpm for brisk acceleration where before I would have my foot planted much deeper to achieve the same rate of acceleration.
While the rims should not make a difference when up to speed, I notice I barely have to feather the throttle to maintain speed now. All I can attribute that to is the fact that less lb/ft are going in to the rotating mass and more is going to the tread/road interface.
My braking is improved. My suspension action is more compliant.
I weighed the steel wheels and the PY0's:
36 lbs for the stock steel rims (36x4=144lbs for 4 rims)
17 lbs for the PY0 rims (17x4= 68 lbs for 4 rims, that's a 76 lb savings!)
The tires are the same ones on each set of rims: BFG AT 265 75 15
The difference in my truck is just short of astounding.
I even believe I'm seeing better mpg on this tank judging by the odometer, but confirmation will have to wait until I can get a few tanks on it and do some calculations. I was up to 18 mpg (combined, 4:10) before the wheels, I would be more than pleased if I gain 1-2 mpg as a result of the lower rotating mass and would make the $200 I spent on the rims well worth the initial outlay.
As I mentioned: the stock steels may not be your issue with acceleration comparing it to a similar truck also wearing steels, but they sure are not helping. The PY0 rims aren't an option for 6 luggers, but there must be decent looking aftermarket rims that offer similar weight savings.
(next up: rear disc conversion to drop another 50 odd pounds off that full floating rear axle right at rotating those big heavy drums

)