Hiya M8,
Here are some fans that are cheap, efficient, and will spin one of those 6" inline booster fan backwards if hooked to pull against each other, and that was through almost 7 feet of duct with at least 300 degrees of bend in it. They are only $12 to $20 depending on size ( they are all 120mm ( about 3.68" or so ) and come in different wattages and bearing configurations ( ball bearing 50,000 hour life, sleeve bearing is 20,000 hour life). Those booster fans are okay in tandem, one pushing into the light and the other pulling, but for carbon filters, no way. I am putting 2 of these 120mm Orion Fans on 4" x14" carbon filters, 1 for the grow room,and 1 for the dry/cure box. These will not work for a 6" filter, but they have some that will and will last 10x what that inline fan will.
Here is the info for the fan, as my little camera won't do a closeup shot that is legible.
Orion Fans Manufacturer - Knight Electronics - knightonline.com
part# - OA109AP-11-1
120v at 12 watts
Hope this helps M8.
Peace
Asmallvoice