They’ll move. Or, maybe this is their swan song. It happens.
It looks like you can spray the shinnery oak plants with herbicides and the lizards will die off. This seems to me to be the most logical and economical way to solve the problem. Just make the critters extinct.
Either the lizards inhabit an area much larger than the tiny 1600 ac (2.5 square miles) area in question or they don’t. If that’s their entire habitat in the world, and the greenie weenies that are suing will stipulate to that and legally agree to no further legal action on other lands, then fine, 2.5 mi^2 is nothing, and the feds can buy the land, do a land swap, whatever and everyone can get on with their lift. OTOH, if the 2.5 sq mi is a tiny fraction of their habitat, then so what? That entire area is alive with drilling and in all this time they’ve only managed to run across this guy on 1600 acres? Doesn’t sound like much of a hazard to me.