I might could finish it tomorrow or the next day.

source: 
Reed
Entry: 
1498
Example: 
I might could finish it tomorrow or the next day.
Modal 1: 
might
Modal 2: 
could
Gender: 
Male
Race/Ethnicity: 
White
Age: 
28
Level of Education: 
Graduate school (Doctoral degree)
Home Community, Town, or State: 
TN (Sneedville)
Location Collected: 
SC (Columbia)
Year: 
2010
Relation to Addressee: 
student to teacher
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic