I think this can work quite well.
I’ve got a 6kw PV, 5kw ASHP and 6kwh battery.
In the cheap periods, heat the DHW and bring the house to desired temp (or a little over in the afternoon) and drop the thermostat a degree in the higher and certainly peak periods so you don’t do much space heating.
Charge battery to 70% on morning (assume you’ll store some when the sun comes up but that allows further DHW, hair dryers etc after 7am from battery)
Hopefully the sun is up and sees you through the day and excess is exported at 15p kWh which is a good return.
run on battery during peak hours then accept after 7pm you’re paying 34p for a few hours before bed.
mix of planning DHW, space heating and charging battery can average out import at about 24p kWh which is good. And obviously over summer I’ll export a lot more at 15p kWh and ensure battery is 100% by 3.59pm