I would say if the honeycomb did little to cool, created more humidity, and you are not using it, I would definitely try the screening. What about replacing with a powered louvre (shutter) if you are concerned about cold times in Florida?
Here's one company that makes good products, but if you go with this idea, shop around...
J&D Manufacturing
https://www.jdmfg.com/dairy/in...
I've also seen, can't remember where, power shutters with rubber on the tip of each section so it seals better when closed.
I know HD Box fans are cheap, but they don't move as much air as a good greenhouse fan or two. Look for low hp/ high efficiency. I have two Hydrofarm ActiveAir wall mounted 3-speed oscillating fans, and I seldom have both of them on at the same time, and when I do, they are both on low. This winter, I kept 1 of them on low, and it took care of the whole greenhouse. I probably should have only bought one.
I forget where I bought them online, but here's a link to see the model I bought. I think I paid $39 a piece. Hydrofarm makes a number of different fans. One thing I like about mine is there are two long cords, so I don't have to climb up on something to set the speed and/or turn on/off the oscillation.
https://hydrofarm.com/p/ACF16