which state has the cheapest land per acre
Wyoming is probably the cheapest land that is not desert land like west texas. Wyoming is still in a zone to be able to grow most things. It does get cold but you can buy 40 acre tracks for 16,000 bucks and that is with owner financing through big land agencies.
Least expensive land. There is plenty of land for less than $500 per acre in far west Texas as well as New Mexico. Three years ago there was a lot more, but it has been driven up quickly.