Can you use a heat pump for hydronic radiant?
It's certainly possible - whether you can get someone in your area to install and service it, and whether you can afford it, are two entirely different questions.
Air source heat pumps that are designed for it can operate efficiently below 0°F - many mini splits qualify, and few whole house units do, for whatever reason. As such, they also work fine at 10F which you need.
Run-of-the-mill whole-house heat pumps (that are mostly air conditioners) do indeed crap out around 30F as Lee Sam comments - but there is better tech available if you can find a dealer and know what you are looking for.
The cold-weather air-to-airs are also generally far more efficient at cooling, as a bonus.
Getting that heat into water is a far more fickle beast - there are a few companies making Air-to-Water heat pumps, and at least one of those is a Canadian firm that claims operation to -25F - but they have no dealers in my area, and self-importing a system without a service person or dealer available was a bridge too far for my taste. So I purchased an air-to-air cold weather minisplit system with a servicing dealer in my area. For the moment, the hydronic tubing in my slab is idle. I'll probably install a wood-burning boiler for it eventually.
Water-to-Water Heat Pump (ground source hydronic heat pump) seems to be somewhat more common, but ground source tends to have high installation cost (relatively low operation cost, however, due to a stable source of non-varying temperature to work from.) It either takes a lot of excavation or drilling a couple of wells, and that runs to money. If that isn't a problem, it's probably the best way to do this, and certainly the most widely available heat pump to hydronic option.
Your mini-split is a system unto itself, and most likely cannot be combined with any other system, particularly an air-to-water one. It might be possible but likely not fiscally sensible to use a larger outdoor unit of its brand that can accommodate it and additional heads, but I'm not aware of any maker offering an air-to-water version of that type of setup.
The common, normal solution to high ceilings and winter heat distribution is to use fans to move the hot air down from the ceiling in heating season.
&quot;Heat pump water heaters&quot; in freezing climates depend on whatever the house heat is in winter, as none that I'm aware of can work with below-freezing outside air supply. So they save a bit on air conditioning in the summer, but make whatever your heating system is work harder through the winter (even if that's also a heat pump.)
If electricity is relatively expensive compared to propane in your area, making this change is unlikely to pay back, or might even cost you more to run.
[...and the usual boring stuff nobody wants to do 'cause it's not as sexy as a whole new system - if you look at your roof and you have icicles, you need more insulation. Insulation and air sealing tend to be the best bang for the buck in saving money on heating - even if you get a whole new system, less waste makes that cost less to operate, too.]