It is possible to install a small, reversible, air to air system as an extra - or use super-white paint on the outside of the house. (to support cooling)
I hope this helps as a starter for ten.
If people have ideas for Simon, please do add to this thread.
If a unit can be reversed it is automatically disallowed for RHI. That results in mainstream suppliers not supplying them. For those able to do so, the solution might be to source their unit from a country where they do not have similar market deforming incentives.
When choosing a country/location aim for one with a similar climate to ours and preferably for which you speak the language.
If you only speak English then you are limited to Ireland or dealing with someone who has English as a second (or third) language in The Netherlands or Denmark. Germany doesn’t have sufficient maritime climate zone and most of France is too temperate.