use ur imagination and replace my air cooled hoods with ur cool tubes...
in this pic it shows the reflectors and how i have em ducted together inline. the reflector on the left doesn't have anything over the other 6 in port and it pulls air from the inside of the tent.. in your case it would pull hot air over the bulb and out of the closet.
Okay, if you imagine this pic upside down u can see how i hooked the ducting to the back of the second light and then hooked up to the exhaust port on the tent. In your case you would hook it up to your fan next. Intake side of the fan.
Okay, you said u ducted a.c in there. This is how i hooked up to the vent.
From that a.c vent i ducted to the intake side of my intake fan... dumping air into the tent.
In your case you would just hook your fan onto that intake port by some ducting and forcing air into the room.
In the next pic you will see how the ducting goes up through the attic and hooked to the carbon filter . The ducting is run from the exhaust side of the exhaust fan.
Actually i will show u the air exhaust port first.
I hooked up to the back of the fan and to that port.
This i how i hooked to the other side of that port in the attic and then next to the carbon filter.
And to the filter
I hope these pics in this order will help[.... and remember use ur imagination.