I also live in the Fingerlakes region of NY in an old timber frame farm house. That wood stove is your friend in these houses, especially with our supply of firewood in this part of the state. As has already been stated, air sealing and insulation is key in these old places. I've been working on mine for the last 25 years and finally have it comfortable, a far cry from the wind tunnel we started out with, but I doubt I'll ever be able to get mine down to the 3ach/50 mentioned above.
I've also done some experimentation with solar thermal via an air heater. It's definitely worth doing, but honestly, in our area, consider its heat as a bonus, but don't depend on it being a reliable source. We just don't normally have a good location for sun. Don't be fooled into using this fall and winter as an example, as it's been uncharacteristically sunny this year
Hydronic solar applications where you can store a couple of days heat work pretty well, though, as we seem to get 2 (or 3) cloudy days for every decent sunny day here in the winter months, and solar water heating makes a lot of sense as you can use that year round.
We personally just went the geothermal route and we're really happy with the system so far. Our wet soils and cold winters are ideal for geo. I didn't look at mini splits, though. Most of these farm houses don't have a very open floor plan so I suspect it would take several units to do the whole house.
Until either our electric rates go way up (currently around $.11 /kwh for me including supply charges and tax), solar pv install prices come down more, or NY state starts some sort of SREC program, I don't personally see the payback for pv here yet. No matter how I look at the numbers, I'm calculating about 20 years at best., in my case for break even. That could easily change soon, especially as outfits such as Solar City make their way to our area.
I really am a solar advocate, but trying to make one of these old farm houses mostly solar heated in our area might be a lesson in frustration. Bags of cellulose, cans of Great Stuff, and the wood stove are the most cost effective heating strategies. (but the geo system really is sweet).
Specifically, on your design, how about instead...Really simple would be an air heater for bonus heat. More complicated, but cost effective would be a hydronic active water heating system for DHW. Then if that works, add to it with more storage and collector area, and put in some radiant heaters for added heat. You'll still need some sort of a main heating system though. I successfully used wood for years and had the oil furnace just as a backup when we went away, or needed to heat the house up quickly.