Some interesting responses here, but as mentioned by @jack it seems that the best solution is to keep the systems all separate.
MVHR for air circulation, but with added heat exchange bypass functionality
ASHP system for heating and domestic HW
Separate air con system for key rooms
If you then add PV, why not negate all of the solutions in relation to keeping the heat out, eg venetians, solar glass ... When it's hot, the sun is out and you can simply run the aircon for free. When it's time to turn in, it's now dark and the sun is no longer heating up the house and you cooled the bedrooms during the day for free.
I had a quote for external roller shutters for 5 windows and the quote came back ~ 8k, that is comparable in cost to installing an air con system.
The other question I have is around whether I could use the same ASHP external unit to perform both the heating and running the air con. I appreciate that they probably are unable to heat and cool at the same time, but you could maybe have the HW feature come on at 5am to heat the cyclinder and then after a couple of hours you could put the AC on.
M