Well I found a nice wall mounted model (panasonic), there's some really good sizing data for them in the specs, such as here:
https://www.seconrenewables.com/panasonic-aquarea-air-radiator-4237-p.asp
You're right that they are a bit expensive (£600 for the small model- £700 for the bigger one on https://www.easyheatpumps.com/cart/) - but they're designed for heating and cooling bedrooms, and look pretty easy to install. As my only other option is UFH, which wont cool very well, I can justify the cost but if its an additional unit on top of UFH I can see it's a bit prohibitive.