LOL I know it's summer at the time of this post. Moved into apartment in NY that heats with a natural gas stove. is is the only source of heat. I have two bedrooms, and I would like to be able to close the door to these rooms for privacy and noise. It there a fan or ducting system that one could install to accomplish this?

Master bedroom is on the other side of the wall of the stove.
Second bedroom is less than 10 feet away. I have all drop ceilings.

Looking at fans, noise on those fans, the electricity they use versus heating efficiency. But unable to find anything on this, and don't want to screw thing up. Lack of info tells me I shouldnt do this? Any thoughts?
-- thanks in advance!