£1400 isn't modest in my book. Plus if used the way you are suggesting you would need a full safety group.
You may have a few things to resolve. If water flows through the combi it will fire up, so use gas anyway. If heat store isn't heated, sun not playing ball, it would just cool the water already heated by gas boiler. So no hot water!
I would install cylinder upstream of the combi, heat by solar, if water is above 45 divert around boiler direct to tap, if below 45 let it be heated by boiler. Saves boiling firing when not needed etc.