From my experience off-grid for 2 years:
Heritage breeds like Barred Rocks, Rhode Islands etc for cold climates. They will be fine, the biggest thing with chickens is tending to foot injuries as this is a serious disease vector. Expect to get Neosporin (WITHOUT THE PAINKILLER THIS KILLS BIRDS) and stockpile it for birds. Get extra bandages too. Ensure you have some trees or a cool, shaded area during the summer. Do not get Cornish X, go with Freedom Rangers if you need a meat-oriented breed. I honestly think dual purpose is the way to go. Make sure you keep at least one hen that goes and stays broody (we have a mom that is broody basically half year and we eat the loss because ALL of her chicks live) and is a good mom. Having to warm water bottles for baby chicks and wrapping said water bottles so they don't kill themselves during the winter isn't fun (off grid). Just have a great mama hen.
Rabbits are tricky, I agree with Epiphany. Especially during summer your losses will escalate unless you have a cool area that is out of sunlight. They are finicky animals and are best if you have a neighbor or someone you can barter with for feed. Free ranging/tractoring them isn't as good as broilers, especially due to heat sensitivity. Rabbits require a lot of work in general, even if you have an efficient cage system. Rabbits are the most retarded mothers and breeders as well. You will have mothers eat entire batches or not feed babies properly, especially with first time moms.
If you can stomach it boil guts of almost anything you kill and feed it to chickens. Rockchuck and other invasive species are easy to trap/kill and will cut down on feed costs lol. If you're plinking then feed your birds.
As for meat... I think you have to go the canning route. I agree with Epiphany yet again that freezers going out is just too costly and risky. As far as I see it locking into canning now and getting cans and Tattler lids AND extra seals is an inflation proof investment. Canning with Tattlers is cheaper than with metal lids and is probably going to save you money over freezers long term unless you have a very large electrical system and you are rich. I really wouldn't gamble.
As for manure... This is one area where rabbits are king. Manure doesn't burn. I think with rabbits you have to have a complete system that integrates them or else they aren't worth it.
As for orchard/garden... Pick something super easy and nutritious. Kale is a staple at my house, it basically requires no assistance and using arugula as a bait crop for insects keeps the bug pressure down (I will intentionally let some arugula bolt after harvesting as these will bait bugs well) and arugula is great in sandwiches to boot. Use kale stems in potato skillets and rice dishes where a rough texture is good for contrast and the leaves for canning soups. Arugula you can just fly through, it's insane. Grow lots of it because you'll never have enough. Go for Red Russian kale in extreme hot/cold climates, it's very tolerant and the strain I've been going with is good till around 0 degrees F. Braindead easy to raise. I think with a garden you want easy to raise things that have complementary plantings that are tasty or bug pressure becomes a SERIOUS issue. If you're going to do tomatoes you need a real plan. Don't waste your time otherwise.
EDIT: It's worth noting if you are into 3d printing you can cut down on chicken food waste significantly by designing your own feeders or printing mods for existing ones. I find store bought things in general always need mods. If you're off-grid in general 3d printing is king because you can print solutions to problems without having to make expensive town trips. Selling solutions to neighbors also works, especially when paired with electronics skills as you can make gate systems, game cams, water monitoring systems, feed machines etc. Something I have stockpiled for a long-term SHTF situation is extra printing filament of different types.
- yep, had to learn to do surgery for bumble foot on my chickens. got it down pat.
- I never had a successful broody hen, so I just went with a cheap electric incubator, but a broody hen is the way to go.
- we didn't even boil all the parts from our butchering to feed to the chickens. we let the flies invade and the chickens ate the maggots. pigs will eat all the parts, too, raw.
absolutely think outside the box. Animals don't care what their home looks like.
- Our chicken coop is made from recycled chain link, perches from old used PVC, feeders made of 6" PVC with a Y connector on the bottom, which I got free. we put a lid on the feeder at night so we aren't feeding mice.
- pig shelters were made from t-posts and heavy PVC pallets which my neighbor recycles.
- goats and pigs have automatic watering systems using recycled 50 gallon blue PVC drums and pig nipple drinkers.
- chicken waterer is similar, with a 50 gallon blue PVC drum attached to PVC with several chicken nipple drinkers.
- homemade goat hay feeders using a cattle panel.
more automated means less work for you and more time for canning, etc.