Cooling System/Overheating Issues

I recently purchased this car from a friend because it was cheap and I needed a car. Overheating issue from the start. First I noticed coolant leaking from water pump so I replaced it and did a coolant system flush. I replaced the coolant temperature sensor & thermostat even though the thermostat was still good when I flushed the system. Shortly after flush cooling fans stopped coming on automatically. All relays & fuses checkedbout good so I wired the relay to cooling fan #2 to a switch inside car so I had 1 fan I knew was working. Still wanted to run hot, upon inspection I noticed a crack in the radiator so I replaced it. So now I have a new radiator, thermostat, coolant temperature sensor and water pump but my car still seems to be running hot @ 240-250 but it doesn't overheat needle never goes into the red. I dont have any leaking coolant, coolant level is good haven't needed to add anymore and there is no coolant in the oil. I am confused by this and slightly concerned because I don't want to damage my car but I don't know what else could be causing this. I was looking at parts and came across a cooling fan console module but cannot find anything online about this and I'm not sure where it is at. Your expertise will be greatly appreciated.