I might can do it.

source: 
LAGS
Entry: 
263
Example: 
I might can do it.
Modal 1: 
might
Modal 2: 
can
Gender: 
Female
Race/Ethnicity: 
White
Age: 
71
Level of Education: 
8th grade
Home Community, Town, or State: 
GA (Screven Co.)
Location Collected: 
GA (Hiltonia)
Year: 
1970
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic