The fan will be more than ample provided the air coming in is below 25c. I don't personally have a carbon filter and there for cant help as far as how much it will restrict air flow but a simple fail safe would be to get one designed for 6in ducting and simply have 6in down to 4in with a premade adaptor and continue the rest in 4in as planned, im sure that would create near no restriction. You truly do need to suck through the filter for max efficiency. when air gets pushed into the filter it bounces back and causes air disturbance and an airlock of sorts, pressure does build up and begin to flow out but slowly. Sucking allows for the full surface area of the filter to be used... As for the 600w bulb heating up, as there is air passing over it from warm up and non stop through the day, the heat really shouldn't build up. Although on the small end of fans.. 175cfm of air passing over a single 600w bulb is a lot, id use a similar volume of air to cool a compressor system on a 8x8x8 cool room