If you're running 10,000W, I'm assuming cash is not the issue.
Cooling lights and exhausting the room on the same circuit is inefficient at best. Two 8in. Vortex will cool 10 lights without much trouble. Two 10's would be better. Make sure you're hoods have 8in flanges to get the full benefit of the fans. Hood air should never mix with room air. Make sure every joint and crack is thoroughly sealed with aluminum tape.
Exhausting conditioned air is just Nuckin Futz!! Either seal the room and use AC or exhaust air with another 10in fan circuit. Air cooling the lights should remove about 60-70% of the lights' heat, but none of the radiant heat. This is where the AC or exhaust comes in.
Exhausting will require a larger filter than a sealed room, but is definitely the cheaper option.
With a sealed room, a 8in fan sitting on top of the fan over in the corner will keep any smells in check. You'll also need CO2 injection with a sealed room.
All this is based on my own experience, only. You're results may vary. I run two stadium rooms that started out exhausted but eventually went sealed. Sealed is better! Much more consistent atmospheric control.
Hope this helps.
Fred