Here's an interesting cooling guide showing how much BTU's each wattage bulb produces for a cooling/ventilation system to overcome
http://www.aquaculture-hydroponics.co.uk/admin/web-inf/uploads/documents/cooling-bound.pdf
This is a great debate and I'm actually in the middle of it with my considerations of using AC (I'm not growing in a fridge). The interesting part of this debate has to do with the design of each unit. A fridge is designed to keep food cold (42*F) or frozen (20*F) in a closed loop system (no fresh air introduced). Central/Space AC is designed to cool a larger space occupied by living organism (people/pets/plants) in a semi-closed-loop system (houses are much "leakier" than a fridge even assuming the house/fridge door is never opened) to a temperature of around 78*F.
Now a plant still needs a certain number of air changes which a fridge won't be able to supply without modifying for ventilation. So really it comes down to making sure the cooling unit can overcome the ambient temperature of the outside air coming in to supply fresh air. I think 750 btu is probably adequate but I also think the unit will be running continuously (resting food doesn't add additional heat but a HID light does).
No matter how you look at it, some sort of ventilation will be required. Adding a closed-loop cool tube system will be a requirement.
Food for thought.