That cabinet looks very tidy. Good job, and I will be interested in seeing what you do with it. It reminds me of the plans I once had for the right half of my armoire, and I never went through with them. It's now a spare garden space for making seeds, under an LED. Anyway, great job with that cabinet of yours!
Ventilation is something you don't want to skimp on, trust me. It doesn't seem like those lights are putting off heat, but they are, and that heat would build up in that small space. Ideally what you would want is an inline centrifugal fan. The 4 inch variety would be fine for that space. Then you could hook it to a speed controller to dial it down if needed. Those really aren't expensive when you mail order them, so in my opinion it's really all you should be looking at. Resist the urge to go with a cheap duct booster fan or something like that if you can help it. Remember that you need to light proof it so it gets an uninterrupted dark period, which usually requires light traps that create more static pressure, so you need a centrifugal to do it right. Oh yeah, and use passive intakes.
Ventilation is something you don't want to skimp on, trust me. It doesn't seem like those lights are putting off heat, but they are, and that heat would build up in that small space. Ideally what you would want is an inline centrifugal fan. The 4 inch variety would be fine for that space. Then you could hook it to a speed controller to dial it down if needed. Those really aren't expensive when you mail order them, so in my opinion it's really all you should be looking at. Resist the urge to go with a cheap duct booster fan or something like that if you can help it. Remember that you need to light proof it so it gets an uninterrupted dark period, which usually requires light traps that create more static pressure, so you need a centrifugal to do it right. Oh yeah, and use passive intakes.