With that much aluminum you don't need no stinking fans. You're buying $100 dollars of metal for a 200 watt lamp. It will be a great lamp. Hit your local hardware store and buy some aluminum angle and use it to bond the two sinks together and create an anchor point for the driver. While you're purchasing the driver get a handful of wago 413s and a 415 for AC and DC distribution, a ring connector that fits the AC wire gauge you're using for a redundant ground, a 10k ohm resistor to run in series with the pot, a piece of shrink tubing, a bag of 7 inch zip ties. Always have some zip ties laying around.
Having said all that... adding a fan or couple fans to the lamp would just make it more bad ass. You might only get 1-2% more light from it, but you're looking at 15 watts for two fans? It could be worth it. The lamp you're building isn't maxing things out, it's seriously improving the yield of your current setup while getting extreme performance (64% efficient emitters) from 200 watts in a 2x4. It will be like it's not even there. Benefits of DIY.