The situation that you described makes it sound like your system could be overcharged. When you stop, you loose airflow and your high side could spike high enough to kick out the high pressure switch. That could cause the compressor to disengage only when you stop. Further diagnosis may be necessary. Does it cool well when driving? How is the aiflow? Have you removed the blower motor and checked the evaporator coil for restriction?
A good observation. An R-134 overcharge will produce those exact symptoms. Back in the old days, R-12 was more forgiving to a slight overcharge or undercharge. I've found that a slight R-134 undercharge works better than an exact charge. When I last evacuated and charged, I watched the center register temperature. It bottomed at 20 ounces, then started to rise. (The factory service sticker says 22 or 24 ounces, I think. ) On a previous occasion, I had overcharged it to about 28 ounces using my R-12 experience. That caused the pressure switch to cycle on and off, and give very bad performance.
It's hard to get the correct charge on an R-134 system (in my limited experience) if the only tool you have is one of those can tap with a hose devices. It's very easy to overcharge. It also seems to be necessary to vacuum the system every now and then, and hold the vacuum for at least 30 minutes to boil out any moisture. Moisture in the system will produce suboptimal cooling. Some years ago, I bought the gauges and a vacuum pump, and they have paid for themselves many times.
The evaporators in the rough 1994 - 1999 years do have problems. Leaves and "humus" accumulate in the evaporator area and eventually cause a pinhole leak. It may take several months for the leak to degrade performance. Replacing the evaporator is not a job for the impatient or fumble-fingered, but it is doable. Since the heater core in that series also has issues, both should be replaced at the same time. Many people have observed that you need to use a MoPar evaporator. Trying to save $20, I tried to use an aftermarket unit. I ended ripping the job out again and installing a MoPar. Be warned. The MoPar unit has brazed-on tubes that are just enough more flexible and better fitting to permit you to snap together the connection to the receiver-dryer in a leakproof manner. the aftermarket evaporators look connected, but they will suck in just enough air or leak or both over time to cause trouble.
Another thing to consider replacing is the valve at the top of the condenser in front of the radiator. The valve has a name that completely escapes me right now. Many good condensors have been replaced when all they needed was a new valve or a valve cleaning. The valve is a plastic venturi-looking thingy that snaps into the low pressure outlet. You can remove it, carefully, with long needle nose pliers. The valve has a filter screen. After eight years of very heavy Arizona use, the valve on mine had clogged up with a black, gooey substance. I was able to clean it with lacquer thinner (first) and then denatured alcohol (second). Don't use isopropyl (rubbing) alcohol because it contains water. It is also possible to buy a new valve from ackits.com or locally.
The other issues of blocked evaporator, radiator and intercooler must also be checked. The fan clutch may also be bad. Because I drive in city traffic here, I added a 12 inch pusher fan to the front, which improves the AC in stop and go driving.
Disclaimer: I am not an AC tech, just a cheapskate.
