Coolant Temperature reaching high temperatures and cooling fan on high?

I flushed the radiator and block with fresh water and then filled each area up with coolant and installed a 2nd new thermostat. After getting everything back together I ran the engine topping off the coolant levels to purge the system for air and since haven't had any coolant loss, no sign of coolant in the oil, no smell of coolant from the exhaust would there still be a chance of a blown head gasket. Also, I have heard people with similar issues having to go back to an OEM Ford thermostat the one I have is aftermarket produced by Murray but is still own temperature? When I flushed the radiator and lines it was running clear water no gunk or anything. All these symptoms started after I changed the original water pump and thermostat. Also had someone say a possibility of it being A/C related and had my while A/C system vacuumed and refilled. Before it seemed, the high fans were only kicking on when the A/C was on but that is not the situation now. High fans are kicking on and the temperature is rising to 220-230 range.