Or the sane way would be to feed both heat sources into a thermal store and feed hot water, rads and underfloor from there....
It doesn't sound so insane when you have a client with a two storey dwelling who has expressed a wish to have a back boilered stove to supplement his UFH heating.
Then on the first floor only, fit radiators in the bedrooms for the sf hydronics. The ufh remains autonomous with the condensing oil boiler (or heat pump) for maximum efficiency. That gives you instant zoning without any controls!
And complete separation with no cross over flows cooling the stove return or heating the heat pump or condensing boiler return ruining efficiency!
One rad (heat leak) is gravity so it operates in a power cut as usual and the other few pumped.
Nested twin coils (or triple for solar) in a vented gravity fed cylinder which are cheap compared to unvented and thermal storage (aka sludge buckets)
The main controls you need for the stove ( hi-lo stats ,injector T and circulator, avta cooling valve optional) will cost £400 which you've already saved. The only extra cost is the radiators in the bedrooms and leaving the system adaptable for up grading to a mains pressure HW module in the future for upstairs showers only.
Then you have back up when the mains water supply fails (ie -frozen pipes, utility works in operation, failing pressure etc etc)
When the electricity supply fails (some people were off for weeks in the recent storms which battered the country) you still have hot water at the taps and two rooms fully heated. Ten kw is the maximum stove size needed and no need for a navvy slave to shovel coal or chop sticks.
Downstairs areas will benefit from the stove heat just by leaving doors open. The property design may lend itself to that anyway.
(ie- stove in open planned hallway)
Divide and rule and you have a completely hybrid superior system with minimum controls and implementing part off its design from the ole days with none of the disadvantages of the modern day sludge buckets, crappy combi's, or expensive, troublesome and restrictive unvented cylinders for very little extra cost.