Living away from property with livestock

Well, these won't work as well during the winter, but you have a few options.

Fish, will grow without much care, and there are automatic feeders for them. Plus you can add an aquaponics system with them.

Rabbits, provided you use a colony raising system with hayracks that can be loaded up with a week's supply, and a gravity nipple watering system that can be hooked up to a large enough supply of water.

Chickens, you would need a huge fenced run, and large coop, but it would be possible to give them enough water and feed for a week at a time.

Quail, would be a much better option. Egg collection may be a problem though, but if you can make laying boxes where the floor slopes downwards, the eggs will roll out of a cage, and be there for you when you come back.

With fish, quail, and chickens, you can use a BSFL system. Black Soldier Fly larva will crawl out of their bin when ready to pupate, and given a ramp will go directly to an animal if that's where the pipe/ramp leads. You can make this into a rotational system, as BSFL thrive on manure, and can keep the cycle going for ages.

My husband was a Sabbath keeper and lived on a dairy farm growing up. He and his father milked 35 cows seven days a week twice a day. To not milk them and feed and water them would have been cruel. Other farm work wasn't done on the Sabbath except feeding other animals. If a person is a strict Sabbath keeper why in the world would they hire someone else to milk on the Sabbath and cause that person to sin? That makes no since. At Creation God put mankind in charge of animals and all the earth environment. A God of love does not expect us to neglect our animals one day a week. We are to take care of them 7 days a week.

We were in a Sabbath keeping Church after we were married and always milked the goats and fed the horse and chickens twice a day 7 days a week. In both Old Testament and New Testament times people took care of their animals on the Sabbath. Even Jesus said," Which one of you having an ox fall in the ditch on the Sabbath would not go and pull it out?" He said this in reference to the Pharisees condemning Him for healing a man on the Sabbath. Jesus set the example that it is a good thing to good deeds on the Sabbath. Feeding, watering and milking goats or cows relieves their distress and makes their day better. I could never rest knowing our animals were suffering for lack of being cared for. Have a nice day.

Can you find a location where you can be close enough to a synagogue that you don't need to stay away at night? Can you keep the Sabbath at home, or do you really need the rabbi & congregation, for practical or emotional reasons? I presume you do not drive on the Sabbath, but can you ride? Are there other family members, or a small group who might also move with you, and form your own community?

30 years ago, I had 200 chickens started and bought a farm 300 miles away. Had to sell our home where we kept the chickens, move into an apartment for the winter, then planned to move onto the farm in the spring.
The farm had a good chicken coup, concrete floor, lath and plaster walls and ceiling, glass windows with wire covers. I set up feeders that would hold 600 pounds of feed and made watering cups attached to 55 gallon barrels. I kept the chickens in there for the whole winter. We came up to add feed, drag a hose across the snow to refill the water tanks every two weeks. They did fine.

I have left cattle for a week at a time, during the summer when they have good fencing, lots of pasture, available water. I might not leave goats, they are crafty. I might not leave sheep, they have a will to die. I would not leave chickens free range.

I now have a rich neighbor that likes to hobby farm. He has a garden and some chickens and a few steers. He lives ten miles away from his "Hobby Farm". He has a big heavy trailer that he hauls water with, every other day. Also gardens, collects eggs and putts around. I'm sure he spends a lot on fuel and wear and tear of his vehicles. Costly to haul water, tank, trailer, pump, etc. To me, that isn't worth it.