Might could.

source: 
LAGS
Entry: 
366
Example: 
Might could.
Modal 1: 
might
Modal 2: 
could
Gender: 
Female
Race/Ethnicity: 
White
Age: 
56
Level of Education: 
Unknown
Home Community, Town, or State: 
Unknown
Location Collected: 
AR (Mena)
Relation to Addressee: 
subject to fieldworker
Medium: 
Spoken
Sentence Structure: 
unknown
Status: 
Naturalistic