if your truck has a fleetside bed and you are not bodydropped you can run the 24x10 +20mm offset wheels you want with a 275/30r24 tire and barely clear the bedsides when laid out as long as your axle is centered and has no lateral travel, because you'll only clear the sides by about 1/8" if you have an unnarrowed axle and unstretched bedsides . so if you're running a panhard bar and not a watts link, you will end up hitting your bed sides.
inside width between your tires will be 52.25", so if nothing on your kp kit is wider than that, you'll be okay.
I'm telling you this from CAD Modeling on the 88-98 c1500 trucks. If you're waiting on someone to answer you're question because they're running it, you're going to be waiting awhile.
Once you go less than 275 series tire width on 24x10 you're putting so much stretch on the tire that you're tire isn't going to be the part you have to worry about hitting anything. When you buy a wheel listed as a x10 that is the tire mounting width. the overall width of the wheel is going to be close to 11". so you're about to run a tire that has a tread width of 10" on a wheel that has an overall width of 11". 275 tire has a tread width of 10.82" which is why I'd suggest running the 275/30r24
just go outside and measure the widest portion of the kit at any point where the tire would be and if its narrower than 52.25", then you're not going to hit