I had this problem recently in very hot 100+ temps in traffic. I checked the intake air temp on my AP and it said 180 deg. Turned off the ac and it immediately dropped, but I had cooked my Grimmspeed Therm in the process. Your only option is to probably go with an all aluminum radiator, and that may not even do it. It may be a limitation on the stock cooling system. The ac compressor may be putting too much of a load on the engine for it to overcome in really warm, slow speed conditions.
222 is not TOO warm, but your rad fans do turn on at about 210 when the ac is not on. So the system wants to see a lower temp than that.