best bet is filter>pipe>fan>pipe>hood>pipe>out
Have you ever tried filter>lower cfm fan>duct>hood>hood>higher cfm fan>out? Much more efficient. I used to run it the other way and didn't have enough air being blown out the end, and my room was over-heating.
Turns out the air was just being pushed into the next reflector and bouncing around inside, and needed to have a higher cfm fan at the end to pull the air through more evenly. But the smaller fan after the filter just ensured that the air is being pulled through the filter first, to create positive pressure.