I'm not volunteering, but a stock "hillbilly" accent should be fairly easy for any native English speaker to fake, assuming their native accent is something approaching English "RP" or American "Mid-Atlantic", if that's what you want.
If you're looking for realism, there are actually several "Kentucky/Tennessee" accents - the East Tennessee/Kentucky "Appalachian" accent is slightly different from the Western Kentucky accent (which also gets into Southern Illinois and Indiana) and accents also differ very slightly from North to South.
Education and exposure to outside accents also affects accents, so an educated Kentuckian/Tennesseean will speak differently from a stereotypical hillbilly raised "down the holler". Historically, an educated Kentuckian/Tennesseean will modify their accent towards the "Mid Atlantic" accent or possibly the "Tidewater Virginia" accent since those accents are seen as being posher.
Western Kentucky accent (Kevin Skinner, possibly playing it up a bit)
Eastern Kentucky/Appalachian (slightly older speaker, using obsolete terms)
Educated/Modified Kentucky Accent (Sen. Mitch McConnell)
Unless you have audio of Col. Green speaking, I'd be very careful not to use too much "cornpone". My guess is that he came from a reasonably well-to-do family since he completed high school and college during the Depression, even though he came from a poor state where, historically, education was a luxury.
I'd guess that he had a modified/softened Western Kentucky accent and used standard U.S. grammar (i.e., "isn't" instead of "ain't"), but might lapse into common regionalisms (e.g., "y'all" instead of the collective "you") or intensify his accent under stress: someplace between Mitch McConnell and Kevin Skinner.
I grew up in an area where the "Western Kentucky" accent was common, but my voice is wrong for the part, my accent is modified Mid-Atlantic and I'm not a good enough voice actor to fake an accent and make it sound right.