I don't think I can directly link, but what you want is American Community Survey Table S1810 with New Mexico County Geography.
Enter S1810 for your search topic. This should give you four tables named Disability Characteristics.
From the options on the left, now select "Geographies".
- For geographic type, select County.
- State, select New Mexico.
- Lastly select "All Counties within New Mexico" and then click "Add to Your Selections".
- In the top right corner of the Select Geographies
popup, choose Close.
Now, pick the table of the four choices that you prefer. I would suggest 2010 ACS 3-year estimates, as it has data for the most counties. This will give you your table of results.
Click Download and use the default choice. This will give you a CSV file that you can use to create a dbf which you can join to county geometry to make your map. The CSV file is going to need considerable formatting before you can use it as a DBF.
Note that even with the 3-year estimates, there are only estimates for 20 of the 33 counties in New Mexico. In order to get estimated total population with a hearing disability, you need to add up these four columns:
VC04 HC02 EST
VC08 HC02 EST
VC015 HC02 EST
VC023 HC02 EST