i would run a hyrdo or aero setup with that much space.
Aero would consist of a tremendous number of micro sprayers to worry about becoming clogged and keep spraying correctly. A grow of that size needs to be an exercise in simplicity. The most reliable hydro system possible is what would be best, since kitty does not want to play in the dirt, which does seem a bit odd too me since it is a natural instinct for kitties to 'dig in the dirt or in kitty litter,' and instead she would prefer to go hydro.
For something of that size you have to consider and accept that some give and take needs to occur. If the very best of the very best when it comes to production per plant growing methods will, on that scale, be a pain in the butt, some slight loss of production needs to be sacrificed in the name of proven reliability. Is it a natural desire to attempt to squeeze every last gram out of every single plant but there are inherent risks associated with attempting that on a grand scale. When a chosen system has glitches, even minor ones but ones that are not all that uncommon, that might in the end, end up costing you pounds considering the scale of the grow. Choosing such a risky route could end up being an example of stepping over a dollar to pick up a penny.
Wherever and whenever simplicity and proven reliability can be made use of, it has to be made use of when someone is talking about such a large scale operation.
I will give an example from way, way, WAY back when I was a kid, back when dirt was new and dinosaurs roamed the earth and history wasn't taught in school because there hadn't been any yet.
Family friends owned a home in Florida and nearby an experimental outdoor hydroponic research center sprang up. It made many errors, errors that were not even considered to be possible errors at the time, though they should have been, but it was very close to being an example of simplicity and reliability at its best.
Long combination tables/growing trays were formed from poured concrete. That was one unforeseen error in that deteriorating concrete releases a great deal of acidity and that eventually caused pH problems. The long table/trays were filed with a small gravel of sorts, similar to what is called pea gravel, with something like similar to perlite or possibly more like vermiculite mixed in. After each grow the 'pea gravel' and perlite-like or vermiculite-like growing medium was removed from the trays and spread on large concrete pads and first some sort of antibacterial and anti-fungal cleaning solution was sprayed on it and then the sunlight and rains, or if it did not rain enough water was sprayed on it, and that cleansed the mixture so it could be reused. Some of the perlite-like or vermiculite-like material did need to be added at times due to it deteriorating and breaking down but the 'pea gravel' and most of the perlite or vermiculite was reused and contained nothing harmful that would damage the next crop.
The research unit was built next to a canal that had a slow but constant movement of water and a waterwheel turned a pump that filled a low but wide water tower. A second smaller water containment unit was next to it and of course connected with a series of pipes and that one had water soluble nutrients added to it.
One timer set to a regular schedule would open a valve and the trays would be flooded by gravity rather than pumping. Another timed valve on the end of the drain pipe would later open and allow the flooded trays to drain. The draining water was directed together into one large pipe that would pour out onto the water wheel further powering it to run the pump to refill the water storage.
When feeding was called for manual valves would be closed and opened to redirect the gravity fed water through the second tank with the water soluble nutrients and then to the flood trays and then again out to further power the water wheel that operated the pump to fill the water tank.
Until a few unforeseen problems reared their ugly heads, like the deteriorating concrete's acidity causing pH problems began and the nutrient runoff caused aquatic growth to choke off the canal and greatly limit the water flow to a point where it was not adequate, and a few other problems, the system worked tremendously well and it was extremely reliable.
The moral of the story is when you go big, simplicity and reliability are more important than having what would be the very best of the very best if being done on a small scale. The large scale alone will result in major profits and those profits are not worth risking by attempting to go too high tech and with it factoring in all the common problems that goes with it.
Going simple saves you some start up costs and also saves you some maintenance costs down the road and most importantly, reliability is built into the system and in a large scale system reliability is of utmost importance.
That's just something to ponder on for a while.