Sorry about the confusion. Obviously, I am not so knowledgeable about heat management in closed systems.

Didn't know what a "45CFM fart fan" was (before Googling), so mentioned the ~50 CFM of the fans I had in mind.

Though I'm not very familiar with Peltier devices, they can be had up to and probably above 226 watt ratings. My idea was to expel the heat from the bulb through ducting directly to the outside of the wooden box, then have some sort of cooling device working on the air coming into the box so that the temperature outside the box becomes less important and thus less harmful to maintaining cool temperatures. I don't care how hot it gets outside the wooden box.

I realized after posting that I was basically trying to reinvent a refrigeration/cooling system. In the interest of saving money, I am trying to find cheap means of cooling.

Essentially, I am trying to cool everything inside this wooden box as cheaply as possible. It's not that I'm disregarding suggestions, but throwing more out there to find a good (cheap) solution. Probably should have mentioned that earlier.