Brew, I guess the only thing that would change in your process is cold crashing the keg and adding the gelatin before hooking up the CO2.
All the gelatin and crud will sink to the very bottom and you rack it out just by pouring the first glass of beer from the keg. You've never seen crap come out of a keg like when you pour your first "gelatin" glass. It's thick and opaque, then turns bright and clear all of a sudden.
If I was to do this with multiple kegs at a time, lets say 4, I would add the gelatin, carbonate, then hook up a party tap to each keg and rack the gelatin out, then leave them for when I want to tap them....that way they are all clean and ready to go, no worries about agitating the gelatin at the bottom of a keg while in transit.
I think if you start doing this Brew, you'll quickly and easily make it just another part of kegging beer.