Just for a little perspective, I have several air cooled hoods, but 2 uncooled lights. I am able to cool those lights adequately with regular fans just blowing on them. One has a box fan hanging from the ceiling, and one has a normal 12 inch oscilating fan pointing at it. These Fans keep the reflectors cool to the touch. The purpose of the inline fan is the remove the hot air from the room, and bring in fresh CO2 for your plants to eat. In my sealed CO2 environment, I use 1 8" fan to cool 4x 1000w lights. If my temps get too high, then another fan kicks on to help cool the lights.
You fan should be plenty strong enough to keep the CO2 levels fresh in the room, you just may or may not have to add more fans to bring heat levels in check.