@WranglerBowman the tax credit is for 30% up to $2k for a qualifying system. The only central inverter systems with flare fittings are from Mr. Cool and Blueridge (alpine) and of those, assuming you live south of PN and WV, only 2 ton systems and smaller qualify. Based on the size of your house, you probably need a 3 ton for heating capacity or a 2 to 2.5 ton for cooling. You could add heat strips to a 2 ton and qualify for the credit and probably make it work on cooling as long as you are ok with it having a little trouble keeping up on days in the high 90's. You probably won't use the heat strips much as you have the wood stove for auxilary heating, but you need them incase you are out of town to prevent a freeze situation.
https://www.alpinehomeair.com/product/furnaces-heaters/ultra-efficient-ducted-heat-pump-air-handler-complete-systems/blueridge/bmah2420-kit2T system kit is $3k
Heat strip $160
Return plenum $400
Electric wire, whip, conduit, breakers - $200
Sheet metal - $100
Tools (lineset bender and flare tool) - $150
Commissioning (Vac and release) - $500 on FB marketplace if you are lucky (no rebate). If you diy this part, you need about $600 worth of tools.
$4.5k or $3.3k after tax incentive - This is going to take you a couple days of research (YouTube university) and two full days to install. The system will not be exactly what you need. For that you need to wait a year with an Ecobee ($120) or pay $500 for a load calc. Assuming you need a 3 ton unit, you are looking at $5500 using the same math and no rebate. You will have no warranty and if you mess up a flare, you are looking at about $1.5K to get it fixed (reflared and recharged by a HVAC shop).
Compare this to a 10k quote for a 3 Ton unit that will qualify for the $2k rebate (8k after rebate). So you are saving $2.5k roughly by spending 4 days learning and installing and you get a full warranty if something is messed up.
If you had a couple of minisplit installs under your belt, I'd say go for it, but in your possition I'd see if you can get a qualifying unit installed for 10k or less. It's a lot of work and risk to save 2.5k.
The math works better for minisplits where HVAC companies charge $4k a pop for $1.5k units+materials + $600 in tools that are much easier to DIY. I.e. you save about $2k on your first install and max risk is having to replace half of a $1000 unit.