A 90 degree turn reduces efficiency by 1.5x so your 220 CFM fan with one 90 degree angle is now worth 154 CFM. Here is the calculation to figure out your pulling power:

Room H x W x L = total square feet / 5 (air exchanged every 5 minutes) = your starting CFM.

Take the result and add the following:

1.5x for each 90 degree turn
1.3x for any carbon filter
1.3x for each hood you are pulling through
1.5x for any reducer on the line
Add 10% for each foot of duct, carbon filter, hood in the line.

This will give you your total CFM needed to exchange the air in the room every 5 minutes. Now just because you are exchanging the air every 5 minutes does not mean you will be pulling sufficient air to cool your light and the room. Drop air exchange to every 4 or even 3 minutes and you will solve your heat issues.