Not too happy with my fans.....
I have the rad from radiator sullly house they use dual 3000cfm fans. I have them kicking in at 190f with my thermostat opening at 180f. Have not seen 200f yet but it's been a mild summer here in Ohio. You. An add in a timed relay to keep the fan on for 30-60!seconds once you turn the motor off of need be.
If your rad is running at 200 then so is your tranny or higher.