One thing that has not been mentioned is the tires. Are they load range E? What pressure are they inflated to? Normal to most of us is 65psi front and 80psi back. The vans are known to not handle as well, in most or our opinions, when set to what is probably on the door sticker at 50 psi front. If the tires were swapped front to rear when set at the sticker of 50/80 without adjusting the pressure. the wander might go away but the steering would feel weird because of the very high front pressure
We have gotten lots of questions about handling on the various class B vans over the years but this one is different. Not that it is more extreme or anything like that, it is that the offset problems have always been in the other direction as in having too little positive offset on the later Chevies do to Roadtrek and others putting -8 or zero offset aluminum wheels on them.
We have never seen anyone that had too much positive offset. I did confirm the nominal +18mm offset for the previous generations of vans like the one in question and also the +28mm for the later ones so all that information is correct. This may eliminate the possibility of it going from negative to positive offset so that is out as a cause, maybe, but not for certain because the van use different front wheel bearing designs, with the early ones using tapered roller bearings and later ones using unitized hubs with non serviceable bearings. The location of the wheels to bearings could be different. They also use different control arms so the ball joints aren't likely in the same place, and may be at a different inclination angle. Bottom line is that we really don't know the scrub radius for the van and the only way to see what it is would be to measure the wheel contact point change as the wheel turns, but that is beyond the capabilities of most of us. It is well known that a vehicle at or near zero scrub will wander, from what I have read.
Perhaps the OP would be able to test the scrub radius direction with what is a very odd way. Negative scrub radius vehicles will steer towards a one front wheel force but on them. Positive scrub radius vehicles will steer away from that same force. The best example of this is if you hit a pretty deep puddle with the right front wheel in a negative scrub radius vehicle you will feel the steering wheel try to turn to the right. If it is a positive scrub radius vehicle it will try to turn left.
This grease joint that may have never or rarely greased could be the clue to what Peteco pointed out as an issue with the front end. Likely it is the upper one on the idler arm which is hard to see. and get to. Those fittings appear to be missed a lot and the idler arm pivots do get loose on a lot of the Chevies over time.
Loose or too tight front wheel bearings has not been mentioned and should be checked (and probably serviced) as they are the old school style that need to be serviced and regreased regularly. They are also adjustable and I think there are many younger people who have never dealt with adjustable front bearings.
But, and it is a big but (no pun there), is that all this started with wheel/tire/shock changes.
Swapping the tires and it is said to have made a difference, but something still odd. Details of what changed and what didn't would be good to know, I think.
Going more positive on the offset might slightly soften the spring rate and lower the van.
The KYB shocks tend to be on the stiff side in general, although I have never had them on our van, so can't speak on that particular part number. I have used them in numerous other vehicles and they are very good shocks with quite high gas pressure in the ones I had. The higher, probably, gas pressure in them will raise the van slightly and slightly change the front end settings. New and better shocks often will improve steering response, though, and you always have to be aware that steering corrections might be smaller because of the improved response. If you are used to larger responses, you need to retrain yourself to smaller ones because the corrections are mostly don't without you thinking about it. If you are constantly overcorrecting, you can perceive it as wander, but it is induced by you not the vehicle.
A good thing to know would be how much the steering wheel is moving to correct the wandering. That would give an idea of how loose the front end is and how responsive the steering is.