You can use an Affidavit in New Mexico for estates with less than $50,000, not counting liens or encumbrances (like a mortgage). There is a 30-day waiting period.
N.M. Stat. Ann 45-3-1201.
You can also use an Affidavit for real estate if a married couple owns a principal residence, valued for property tax purposes at $500,000 or less, and holds it as community property. The surviving spouse can file an Affidavit with the county clerk if no other assets require probate. (If, for example, the other assets are bank accounts held in joint tenancy and retirement accounts or life insurance that pass by beneficiary designation.) There is a six month waiting period.
N.M. Stat. Ann 45-3-1205.
You can use a summary probate procedure for estates in which the value of the estate, less liens or encumbrances, doesn't exceed the homestead allowance, exempt property, family allowance, and costs of administration, funeral expenses, and last illness expenses.
N.M. Stat. Ann. 45-3-1203 and following.