Desperately seeking shelter (santa rosa)

Long story but wound up homeless after living with a drunken abusive landlord.
Had my money invested in a start up business and couldn't afford another room.
Was doing Instacart to get by but then my transmission went out.
I have a 12-year-old half blind emotional support animal and all of the shelters either won't take us in or are full.
It's getting cold outside and I have no place to leave my dog so I can work.
I'm willing to cook, clean, do chores or run errands in exchange for even a couch or a corner of a floor somewhere until I can save up enough for a vehicle or another room.
No drugs, just experiencing a severe financial crisis and not sure how to get off the streets before it gets too cold.
If anyone is willing to help I'd be more than grateful.