Might can do it.

source: 
LAGS
Entry: 
269
Example: 
Might can do it.
Modal 1: 
might
Modal 2: 
can
Gender: 
Male
Race/Ethnicity: 
White
Age: 
36
Level of Education: 
High school (Graduate)
Home Community, Town, or State: 
TN (Medon)
Location Collected: 
TN (Jackson)
Year: 
1975
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic