Easy to get off the grid in NM, AND live on 27000 a year (and ski and flyfish until you're blue in the face).
I think that's true in some areas, but overall the New Mexico median home value is $108,000 and the median income is $38,000. $575,000 minus buying a home leaves $467,000, times 5% equals an annual income of $23,000 (before taxes). In most places in New Mexico, even Raton, a household income of only $23k places you in the bottom of the middle economic bracket, or top of the bottom bracket. You'd be on par with a man and wife who both work part time fast food jobs.
There are exceptions of course. Columbus, New Mexico has a median household income of $13,000. So you'd be an economic pillar of the community if you moved there. Or else everyone would resent you as the Richy Rich White Easterner and harrass you until you left...
Now if you're married and your wife keeps working while you're fishing and skiing, then you've got it made. Your income of $23,000 plus Wife's schoolteacher (or whatever) pay of $50,000 equals $73k. With no mortgage payment, you'll be economically independant almost anywhere.
Keep in mind, even living "off the grid", you still have to cough up cash regularly for taxes, transportation, groceries, insurance, and ski lift tickets. And you'll need to reinvest a certain amount each year so the interest payments you receive keep up with inflation.
-Bob