Well, he could might do it.

source: 
DiPaolo
Entry: 
1406
Example: 
Well, he could might do it.
Modal 1: 
could
Modal 2: 
might
Gender: 
Female
Race/Ethnicity: 
White
Age: 
unknown
Level of Education: 
Graduate
Home Community, Town, or State: 
TX (Tyler)
Location Collected: 
TX (Austin)
Relation to Addressee: 
teacher to student
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic