As most diesel posts go, I am going to be of no help. But I do like to learn. So I sit and wait, and usually tag some "helpful" people...
@campfire @AgDieseler ....and so on.
I don't think I've ever been called helpful, Greg.
@Truckman4life, black smoke is normal when loaded down, to a certain extent. A bluish tint would be oil burning (fairly common in older engines, but not every engine does this). I expect a greyish color when at medium load. Sustained white would be coolant (always bad). I've never heard of backfiring smoke through the intake, but if it starts running rough after a couple minutes you are probably looking at the change between cold idle (fast) and warm idle (slow). The timing gets bumped during cold idle, and my switch trips before I consider it warmed up. I had to raise my warm idle slightly to get it running smooth during that transition, I wish it would wait a little bit longer before tripping. Your symptoms sound quite similar.
If I start it and let it idle sometimes after a bit it will start running rough and blowing whiteish black smoke and even popping smoke back into the intake. I can rev it up and it goes away or if I just start it up and drive it then it won't do it.
Try raising the idle a bit, you shouldn't hafta raise it much to overcome the rough running if my hunch is right.
Your c-code emissions engine does dump smoke into the intake in the form of EGR. This will start after it warms up. Can't recall the logic that opens the EGR valve, but it may also be running off the temp. switch.
My '83 K10 was a barn find. I bought it in 2010, and it had been sitting on and off since about 1990. Lots of time for gunk to build up, and it smoked a bunch in several non-white colors. I remember starting it up and filling small parking lots with smoke, driving through my own haze on the way out.

After a couple of thousand miles it got much better. YMMV. I haven't replaced my old injectors, but doing so should help reduce the amount of black smoke (wasted, half-burnt fuel). A worn-out IP would cause inconsistent running, but shouldn't be causing smoke, IIRC. Timing can affect smoke rate, but I don't have first-hand experience here.
I'd bet that the increase in smoke while upshifting at light loading is an illusion caused by the slower exhaust flow rate (the smoke is moving away more slowly), but that's just a guess. The folks following my K10 see quite a different picture than what I see from the cab.
HTH.