I might could think of a few more.

source: 
Feagin
Entry: 
744
Example: 
I might could think of a few more.
Modal 1: 
might
Modal 2: 
could
Gender: 
Female
Race/Ethnicity: 
White
Age: 
30s
Level of Education: 
College (Bachelor's degree)
Home Community, Town, or State: 
AL (Unknown)
Location Collected: 
AL (Unknown)
Year: 
early 1970s
Relation to Addressee: 
Unknown
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic
Notes: 
Lower middle class schoolteacher