Gwendolyn -
The BEA RPPs are relative costs - how much more or less this state pays than other states. For actual dollar costs, the BEA Personal Consumption Expenditures (PCEs) are probably more appropriate. There is a table: SAPCE3 Personal consumption expenditures (PCE) by state by type of product.
This table gives total costs across the area for different expenditures. Here is a link that should take you to a table of costs for New Mexico for the last 5 years for household utility expenses:
BEA Interactive Data Application
For a per person or per household value, you would need to divide by the appropriate denominator.
BTW, the BEA data are derived from ACS PUMS data.