You do not need an oxygen supply, unless you want the bubbles to agitate the nutrient solution so nothing will settle. This is practically hand-watering from below, O2-enriching the water does nothing.
I have the 47-litre tank as well, and I've had it drain completely empty on me while I was away and did not put enough nutrient solution in for the duration. My tank is positioned a good 30cm higher than my autopot; this will definitely allow most of the water inside to be fed to the pot.
Do some research on how long your organic nutrient solution will last, and then just size up your batch accordingly. I really have no experience with organics, so I don't want to disperse wrong information here. Probably as long as it doesn't smell, it's still fine. Just make a batch and go with as long as possible.
Alternatively, you could simply top dress your plant, and then just feed pure water from the tank. That would avoid to keep organic nutrient solution in the tank at all.