There are air to water heatpumps. Usually for heating, but many also support cooling. And water can be buffered, that's common practice with heatpump heating an

There are air to water heatpumps. Usually for heating, but many also support cooling. And water can be buffered, that's common practice with heatpump heating anyway. Perhaps also use a buffering style deployment like floor heating, then you active the thermal mass of the building. So, I should be possible to solve this with off the shelve components, if you want to go beyond the traditional air to air airconditioners.