I'm new here, but, If you expand your query to include free range exotic goats, the archery hunt for persian ibex in the Florida mountains of southern NM is widely considered to be a world class hassle. Way up there in terms of most fun i've had being unsuccessful and almost dying every other day.
World class hassle is a good description. The florida's suck but ultimately you're between 5k and 7k in elevation and 10 miles from a major city with cell service the whole time. I struck out in October but will be trying to draw again.
Now if someone has a fear of snakes then the October archery ibex hunt would DEFINITELY be the hardest in the world for that person...