N.M. Stat. § 73-7-19
[Rights-of-way; eminent domain.]
Where a drainage district has no sufficient outlet within its borders it is hereby
provided that said district shall have the right to condemn right-of-way across the
necessary lands to reach an outlet, the damages, if any, to the owners of lands through
which the right-of-way is procured to be agreed upon by said owner and the
commissioners of such district or if they cannot agree upon damages, the said drainage
commissioners, shall proceed in the name of such drainage district to condemn such
right-of-way which shall be so located so as to do the least damage to private or public
property consistent with the proper use and economical construction of such outlet.
Such land and right-of-way shall be acquired in the manner provided by law for the
condemnation and taking of private property in New Mexico, for railroad, telegraph,
telephone and other public uses and purposes.