Purchase land out in the boondocks. It is best to purchase land that does not have any major cities in the county. By major I mean famous cities such as Houston, Columbus, Miami, Pasadena, Boise, etc. It is best if the county has already deeded the land agricultural. Every county has their own requirements, but usually it involves having some livestock on the land. You too will have livestock on the land and will keep the land agricultural as well. This will help you avoid property taxes.
Build a self sustaining alternative home. This will involve you using natural materials such as sod (get a sod cutter), hay, mud bricks, or logs. You will need composting toilets, solar power or wind power, rain water collection (for showers and washing) and an atmospheric water generator for drinking water. You can't have a well or septic system in most counties, nor grid power as that would be considered a real structure or dwelling to the county. Otherwise it is merely considered a cabin, that is not usually needed to be reported to the county. This will keep your ag exemption on all your land too. Again, this will help you avoid property taxes which often include school taxes. You will need a P.O. box for mail.
Have livestock that will support some of your food. Eggs, milk and cheese. A nice garden will help too. Though food is not taxed by sales tax, it leads into needing less money to live on.
Have a job that you can work as few of hours as possible, with the highest pay possible. Since you will not have a mortgage and your property taxes will most likely be between $10-30 a year, you will not need much money to live on. This means that $10,000 to $15,000 a year should be sufficient for food, clothing, and your automobile. If you are with a spouse or have children, you will NOT owe any income taxes.
Learn how to fix things such as automobiles, lawn mowers, bicycles, appliances etc. Use the internet at free hot spots to get information on how to fix things. You will avoid having to buy new items often, saving money and avoiding sales taxes. While on the subject, when you do buy new items, buy used items from AD's in local newspapers or online for sale forums, craigslist, green sheet, thrifty nickel etc. This will also help you avoid sales taxes. Buy clothing at thrift stores as well.