I'm assuming that this mini veg room will not create too much heat that would adversely affect the flowering room. Come to think if it , sometimes you want a little heat in the flowering room depending on the time of year. During winter I do the passive exhaust that you're planning.
A set of dampers in the veg room (although my veg room isn't small rather it is 2400 watts) opens up topside so that cold air will pass through the ceiling past the lamps and then ducted straight into the flowering room. A thermostat will also let those topside dampers close when spring rolls in and open the floor vent dampers instead then the veg room goes back to bottom to top raised floor ventilation, exhausted on its own pair of 10" can fan/filter combos (with homemade 8' silencers straight through the ceiling vented out from the basement past the first floor and out the second floor vents).
I figure this way the flowering room can get raised floor "bottom to top" ventilation year round . By doing it this way I simply don't get to ventilate from bottom to top in the veg room during winter. If you're room is in a basement you could get some free heat (and a little free co2) from a natural gas boiler room if it is situated in such a way where the veg room would take in air from it passively. That's even if you need it.
For all I know you're somewhere that winter never gets too cold. Although, it's worth mentioning to never re-route a boiler or furnace flue pipe. Even though a certain amount of carbon monoxide can be converted to co2 through ambient humidity, most of it could end up leaking into the surrounding environs of resident humans... Sorry for goin' off on a tangent.
Not to go off topic , but what growing method are you gonna use?