This is really easy to do, and would look most at home using a front axle engagement switch. The shutter-stat has a very small air bleed hole in it so it can relieve air pressure when off to release the fan. But, I like stuff automated and to work like it is supposed to. I want to ask why you want the fan to come on earlier than 200F, but I do things nobody agrees with either.
I was going to do this same mod when adding A/C, but still have it automated via a 24v air control solenoid tied into the A/C clutch actuation signal. Instead, I bought a cab roof unit with the condenser and 24v fan built into it, because I want to add the full size front mount charge air cooler.
Today's OTR trucks are now actually the opposite of how they were a short while ago. Today, big rigs fans are run as "fail-safe", meaning their air actuated fan clutch is in the locked/engaged position with no air pressure, and they require air pressure to disengage. So, loss of air in fan cooling circuit = fan on. They will rotate with the engine at first start if the vehicle has no air pressure.
So, use a front axle engagement switch/valve on your dash, with an air check valve in line with the hose which routes to a "T" you install after the shutter-stat and before the fan clutch. This is so the normal 200F engagement of air through the shutter-stat does not bleed off through the new front axle engagement switch you added, since I believe that added mechanical switch/valve has an air dump drain on the output line when in the off position (the hiss you hear when disengaging the front axle). When you pipe air into the newly added "T", you will have a small amount of air bleed going through the shutter-stat bleed hole due to it's designed in function. That hole has to be there in order to release the clutch when either switch has activated it, otherwise pressure would stay on the clutch and it would not disengage.
I can put together a care pack of what you would need with a bar napkin drawing if you want, and send it your way. Probably only a few dollars in parts. I could even fund it for the delay in shipping starters which FINALLY went out. Your tracking number will show progress by the end of the day Monday, it takes Fed-Ex almost a day to update.