Is it a single tap kegorator? If so what you can do is get a Y splitter to connect to your CO2 tank. Run one line to your active keg and another to a back up keg. You should be able to fit at least 2 cornies in a kegorator. That way while drinking your first keg, the second will be carbing. When the first keg kicks just switch the beer out connection from keg 1 to 2 and your ready to drink. Then sanitize and fill the first keg and hook that up to the gas. You’ll always have a keg cold, carbed and ready to go.
I just converted a single tap kegorater to a double tap. So I have 2 kegs going at all times and a third that won’t fit in the fridge. So after I fill the 3rd keg, I hook it up to the gas to push the oxygen out of the head space and then put the lid on. When a keg kicks I just replace it with the one that’s been sitting under pressure conditioning. I have to wait 5-7 days for it to carb, but it still works out well.