I appreciate your trying to look at this from different angles but you keep injecting conceptual ideas into an existing situation just because no one has a copy of the appraisals or LP's costs to send you. i think spinning different angles to this story only clouds the real issues and detracts from the work of a lot of people who are trying to resolve it.
The federal government acquires land everyday and has a methodology that keeps them from being sued for being a 900-lb gorilla and in theory make people take less for their land thatn its worth. There is no other angle to this issue other than LP wants more money than what is supportable from the governments valuation procedures. LP sees the access as a mini-business and worth more because of it when in fact its just raw land leading in and out of a canyon that they use in their business.
again, if LP thinks the land is worth so much then have them put it on the market and see how many takers they get at their price. hell, give NPS right of first refusal to counter any offer. guaran-damn-tee you no one will step forward to meet LP's price and on the open market they would be lucky to get what NPS is offering as that is the only motivated end user that will pay up. If there are land speculators out there that will pay $5k+ an acre then they are either really smart or really stupid as no on in their right mind would pay $5k an acre for land like that.