Heat Pump System Options – radiant hydronic floor plus ducted air – GreenBuildingAdvisor

As a follow up to the advice I got on this thread I have a few more questions.  https://www.greenbuildingadvisor.com/question/cold-climate-air-to-water-heat-pump-auxiliary-heat-ac

Subject structure is 3BR cottage outside Rangeley, ME climate zone 6.

In typical fashion, the building project is behind schedule, but we do have a foundation in and framing has started.  The lower (basement) level and garage slabs have pęx tubing for heat.  For cost and simplicity, we’ve decided to go with ducted air for the first floor heat & A/C and also to provide air conditioning for the lower level (no A/C in the garage).

The prior thread advised that air to air heat pump systems are more efficient at cold temperatures than the air to water systems.  For a variety of reasons including cost, complexity and available volume I’d prefer to run everything off of one heat pump system with propane backup.

I’ve found lots of information and available products for  air to water heat pump systems that can support the slab hydronic radiant floor heat and a ducted system (heat & AC) with a coil insert.  I can’t seem to find any information about an air to air heat pump systems that can also support the hydronic floor heat?  I’m not sure what I should be calling the device?  Does such a system exist?  I’d expect I’d need both a propane boiler and furnace in this example?

Appreciate any and all thoughts!