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Answering my own question to get this going. After a lot of searching, I found a procedure from a BRE report from 2016 that suggests I should be able to make an estimate based on annual energy use, plant efficiency, and equivalent full load hours (heating or cooling).

I've also found another BRE report which gives cooling plant EFLH for offices in a range of UK cities.

The calculation that makes sense to me is kWh / EFLH / SEER = kW

So, working that through, I find a (very approximate) installed cooling capacity of 138 kW.

         Annual kWh  EFLH   Efficiency   Installed kW
Cooling  455,895     1,500  2.2          138