I only need to draw on the cold during maybe 1/3 of the day, during maybe 1/3 of the day the ground will recharge the cold store. It's the same principles Sheffield Town Hall was built on in 1895 before they buggered it up in the 1930s by blocking all the ventilation and installing heating.
Anyway, it's worth experimenting with as it's much easier (and cheaper) to play around with some ducting and a couple of vent fans than it is to try and work out where on earth I'd put an air conditioning unit.
Thanks everybody.
JGH