UV seems straightforward, even as a retrofit — a UV sterilizer is not terribly expensive or large, and it can be installed downstream of the filter without any other complication. (UV works poorly in cloudy water, which is why it goes after the filter.)
Ozone is a mess. The concentrations of ozone that disinfect are also dangerous for people, so you need a “contact chamber” to let the ozone react, and you want to avoid spraying highly ozonated water at children.
It also seems like it might be useful to sterilize the filter every night — those filters can surely end up quite full of cryptosporidium oocysts that will live for a long time. I don’t know what one would sterilize it with, though. Maybe chlorine dioxide?