thats exactly how im gonna run mine when i get the fan, i have over a foot of clearence, will the 6 inch fan push through a carbon sock? specifically this set up
https://www.rollitup.org/indoor-growing/7074-easy-build-diy-carbon-filter.html
i would advise against using that DIY filter...i tried it, didnt do much, really...i could still noticeably smell it, even on the floor above. save yourself some time and effort, and spend the extra few bucks for a decent filter. when it stops serving its purpose, buy some activated carbon (you can find it pretty cheap if you look), and replace the old carbon in the filter...you might need to replace the pre-filter at some point too, but thats cheap as well....
you can either spend like $15-$20 at least in supplies for the DIY filter that doesnt do squat, or spend another $50 or so on a decent filter that you can replace the carbon in when you need to for cheap. im waaay happier after i bought a can filter...cant smell a thing.
also, put the filter inside the tent, at the beginning, not the end, of your exhaust system-and pull the air out through it. vortex fans pull through resistance better than they push past it.