I've researched self sustainablilty for over 30 years. Almost got there one time. I work in a natural gas utility, so home grown methane sounds good, but humans do not put off enough alone. However if all the dairy farms and feed stalls in America converted their manure to methane, it could provide all the residential natural gas in America. This however is only 1/3 of the total use. Industrial, power plants, and commercial uses the other 2/3rds. Another reason it isn't done, it is labor intensive, and cost about 2-3 times what it takes just to drill for it in the ground or offshore.
In the deep south, you don't want a south facing opening to a semi-underground house. You want an east or northeast. Why, it is hot in the summers, winters are mild compared to the north, tornadoes run sw to ne.
I know a guy who build an underground home in Auburn, Alabama. Opening faced north. Covered the east, west, and south, with 2' of dirt on top. North was almost all glass. He had a wood fireplace on the center of the north wall. He used concrete prefab bridge spans for the roof. (He ran a crane company) Lifted them in place over his walls. Made the rooms about 12' high, then had a drop ceiling for hidden ductwork, wiring, etc. He lived one year without heat or air-conditioning. He said he only needed the fireplace about a week in the winter when it dropped down to about 20 degrees. He said the inside got up to about 85 degrees in the summer when it was about 102 outside. He also said the humidity was bad, so he installed a heating and air conditioning system just to condition the air, especially in the summer. Here in Alabama, 3' below ground level the temperature is a constant 60 degrees year round. In Michigan, it is 5' below ground level. A south facing opening in Michigan would be better to take advantage of sun.
I think self sustainability is very possible but you need a combination of things. Semi underground home, solar heat and water heat, solar panels for some electricity, wind mills for more electricity, a good wood lot for firewood, and a small steam engine using firewood for additional electricity in cloudy days and night time. Also having a ground water heat pump would help with air conditioning. Using LED lights would also help with electric bills. Having a garden, and chickens, would also help. This would allow for only one family member to work full time for cash. If you had enough eggs from chickens, you could trade with another homesteader for milk. You would be surprised and what you really don't need. Reading instead of watching TV uses less electricity. Working in the yard or garden, hunting, shooting, fishing, cutting firewood, is healther than sitting around watching tv also.