Coconino County Arizona is huge, including remote, but subdivided, sage brush flats where the only water is a thousand feet below the surface, or hauled from 40 miles away. It is not in the middle of Nowhere, but you can see it from there. Some friends bought a couple of those acre lots in Valle for the $500 owed in back taxes. How many of those liens would you need to carry to have a reasonably sized investment? Who would want the land if you did get possession?
Look on ebay for Arizona land sorted from the cheapest on up to see what those places look like.
Best deal I've heard of is a mobile on a lot that didn't sell at the foreclosure auction (no bids), so the mortgage holder was ready to bargain when contacted a couple of weeks afterwards.