N.M. Stat. § 42-3-12
Housing replacement as a last resort.
A. If a project cannot proceed to actual construction because comparable
replacement sale or rental housing is not available and the displacing agency
determines that the housing cannot otherwise be made available, the displacing agency
may take action necessary or appropriate to provide the housing by use of funds
authorized for the project.
The displacing agency may use this section to exceed the maximum amounts which
may be paid under the Relocation Assistance Act on a case-by-case basis for good
cause as determined in accordance with such regulations as the agency or department
shall issue.
B. No person shall be required to move from his dwelling on account of any project
unless the displacing agency is satisfied that a comparable replacement housing is
available to the person.