i've run into a snag in my design

. i need to both cool the 600w hood and vent/filter the room all in one duct. i will be using the Sun System Cool Sun reflector (600w) with one end open to the grow room to pull air into the reflector/start of the ducting. then through an inline carbon filter (which i can't find), finally to a vortex 4 inch 172 cfm fan venting to an interior wall (its a three story house on the first floor). this whole distance is less then five feet btw.
so my question is this are there inline carbon srubbers? or is this a diy project?
quick info on room: 34inches by 43inches by 10 feet (i have vaulted ceilings)
intake is from basement via bottom of interior wall, exhuast is at 6feet on same interior wall.
also i've been told that the vortex fan is fairly loud, anyone use one of these or know about them. sound is an issue for me, but not as much as clean fresh air coming out the closet into walls
Thank You in advance i've lurked here for awhile and know pearls of wisdom await me.