Understand completely what you mean.how many plants?
It would be easier to control the bedroom climate and have the plants in a tent. Pulling large amounts of fresh air through defeats room conditioning.
Run some co2 bags to offset your room being mostly sealed.
That comment about the carbon monoxide and air leaks is no joke.
I mean you could close the bedroom door, run a window a/c unit and a dehumidifier, little heater if you needed. Keep the room where you want your tent and run that carbon filter setup on the tent exhaust. Leave one of the bottom flaps on the tent open, keep the air moving through the tent, not the room.
In regards to the carbon monoxide backdraft, does this only apply if I have gas appliances ?(which I dont)