Adding a Fan Shroud

Im thinking that with the 160* once the thermostat opens it stays open and the coolant doesnt stay in the radiator long enough to cool therefore the coolant temp continues to go up while the thermostat stays open. Im hoping that the 195* stat will allow the coolant time to cool in the radiator before the thermostat will open and close. Am I off base on this theory?
two things, the thermostat is to keep the engine at a minimum temp, not cool it off. you want to run the liquid though the radiator faster rather than slower. yes the stuff in the radiator cools more if it's in there longer, but the stuff in the motor is getting hotter at the same time. a crappy thermostat is already a restriction. since your going back in anyway, get a stewart