The "heat" generally comes from folks who somehow can't envision several thousand acres inside that boundary fence. I've spent most of a day just working sneaky-snake in maybe a hundred acres.
"Fair chase" is controlled by vegetation and terrain. You get on the highway north out of Roswell, New Mexico, and a fair-chase high-fence pasture oughta be 20,000 acres or more.
But an Okie mule deer deal ought to work okay.