It is drawing a bit of a long bow to equate levels of unhappiness with suicide rates but not completely unreasonable. That being said it is interesting to look at the general level of unhappiness in the USA.

Greater than 14.92 suicides per 100,000
Between 12.55 and 14.92 suicides per 100,000
Between 10.41 and 12.55 suicides per 100,000
Less than 12.55 suicides per 100,000

It seems that west is a lot unhappier than the midwest and the east, with the exception of Florida which is the pits. If you are looking for the really unhappy people try Sierra, New Mexico with a whopping 42.21 suicides per 100,000 people.

Compare this with Rockland, New York that has only 3.63.

(Source Centres For Disease Control and Prevention)