If you use a seperate fan for the carbon filter, you could get by with a 4"fan with a 4x14 filter just scrubbing. Easily run a 400watt cooltube or even a 600watt if you set it up right.
I have a 600 watt in a 4'x4'x7'space and you can touch the surface of the cooltube with your hand and it is cool to the touch( 140 cfm axial fan setting in the attic). If you want to do the filter and the light with one fan, you are going to have to step up the fan size to move enough air throught the filter and the light to cool it properly. You do not need a filter in veg, so you would be wasting the filters usable life on nothing unless you are running a perpetual setup.
Peace and Great Grows
Asmallvoice