Your a/c is suppose to shut off when you are at wide open throttle, thats something you can not change, try not to go wot and see if it stays cold.
Now if it is short cycling (not staying on constantly) then you need to buy a few large cans of freon and recharge your system, the system hols 64 ounces of freon, thats alot of freon btw.
I know its supposed to shut off at WOT. My Lightning does that too, but this is different. It does it all the time, just under normal driving. ill be cruising at street speed limits and it will shut off. Sounds like it cuts off the front vents and switches to the defrost vents. I can hear it blowing from there, but cant feel it. As for freeon, its been filled to capacity twice, so I know its not that. Its fully charged. And I didnt personally do it, I had it done by a friend who knows how to do AC systems and has all the proper hosing/tubing/gauges, etc… We double & triple checked the readings and how many lbs it was supposed to read at. We checked for a vacum leak and couldnt find one, but it sounds like from what everyone here is saying is that there has to be one somewhere!
And I do have rear AC as well, but that seems to be blowing just fine. The problem is only up front.