Vehicle running warm 360 la

My 360 la has been running hot lately it gets up around 220. I have a 26in aluminum radiator and 2 electric fans with a 180 thermostat. It has some bubbling in the radiator when I take off the fill cap so I’ve been thinking that maybe the head gasket is leaking exhaust into coolant. When I start the car up warm the temperature will be around 210-220 and will drop down to the 180 like the thermostat but will quickly then go back up to 195+. The temperature will go down to 185-195 when I’m doing steady driving. But anytime I stop the temperature hits 200+ quickly. It used to just sit at or right around 180 at all time. I recently had a vintage air ac and heater installed and it doesn’t blow hot so I’m assuming I have something wrong I’m my coolant system.