I might can try.

source: 
LAGS
Entry: 
297
Example: 
I might can try.
Modal 1: 
might
Modal 2: 
can
Gender: 
Male
Race/Ethnicity: 
Black
Age: 
65
Level of Education: 
None
Home Community, Town, or State: 
GA (Lee Co.)
Location Collected: 
GA (Leesburg)
Year: 
1977
Relation to Addressee: 
Unknown
Medium: 
Spoken
Sentence Structure: 
1.0
Status: 
Naturalistic