The s9 fans are rated for 250CFM, not 200.
This rate is for 6000RPM fans?
Because I have experienced a lot of orders from alibaba of fake Delta/Nidec fans which can't surpass 4200RPM.
I don't know does the room size matter? I'm thinking about the air volume.
One important piece of information which you need to consider would be the difference in pressure between the two rooms, the split room design is good but it's hard to work with when it comes to air pressure, I don't know the exact setup of your farm but if I understood you correctly I believe you might have to increase the exhaust and reduce the intake.
One way to confirm this would be making a small hole in the outside wall of the hot room, and then place a piece of paper on it (from the inside), if the hole sucks the paper then you are good, if the paper is pushed to the inside (which is what I believe to be the case) then you need to balance the pressure.
The thing is I made a small piece of manhole that's being held by silicon adhesive. I opened it few days ago and tried doing a similar test like what you asked (sorry didn't see it ahead of time).
The test was, I was holding a small piece of paper and tried bringing it near to the suction fans. And they were sucking the air but the movement of the paper was being a bit strange when I bring it to the edges of the fan. It was like a mixed movement of suction and discharge. It's like the exhaust fans does need to take from an outside air a bit of air to compensate the air they need to suck (I'm not sure about it).
But I definitely notice when I opened the manhole and the hot air returned to the cold room, the miners' fans sound/noise changed. Since the fans now has enough suction.
I'm thinking now to add one more swamp cooler. But I'm afraid that it won't be enough. But based on the calculations, the 2 swamp coolers should have been enough.