If the car is running 220, what thermostat is in the car will have no effect on the overheating problem, stock, 180, or 160, any the above and the thing is open!
That said, the factory gauge is off, over reads by as much as 20 degrees, this coming from Dave Jenkins in CA (verified thru true temp readings with external gauges). Keep that in mind as well.
Next to move to is the water pump? Did you try leaving the heat cranked and notice if the air is indeed hot? If not, the water pump is the culprit. However the reverse is not ture, if it's hot air, the pump still could be shot, just a quick check method.
Also look for overflow out the weep hole in the pump after hard use/ shut down, a sign of water pump seals on the way out....
Lastly, verify mix of antifreeze is in the half/half range and not more antifreeze, that will contribute to overheating as well...........go 60% distilled water and 40% antifreeze (climate permitting) and juice up the antifreeze % for winter time if needed..... toss in 2 bottles of water wetter for good measure. Although this board debates on water wetter benefits as someone coked a motor after running all water with waterwetter, not a good idea. On the Redline bottle they recommend a min. of 15% antifreeze for corrosive properties for street driven cars.
Hope this helps, best of luck........