Might can do it.

source: 
LAGS
Entry: 
273
Example: 
Might can do it.
Modal 1: 
might
Modal 2: 
can
Gender: 
Female
Race/Ethnicity: 
Black
Age: 
67
Level of Education: 
High school (Graduate)
Home Community, Town, or State: 
TX (Marshall)
Location Collected: 
TX (Marshall)
Year: 
1974
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic