Jay,
From what I have read of the 27th , they spent most of their time in the Dept. of South Carolina, Georgia, and Florida. I would assume that they would at least have had a Georgia state color. since they served in the Army of Northern Virginia, beginning in the spring of 1864 they may have also have had a 5th issue ANV battle flag. If Mr. Greg Biggs should see your post here he is probably the best source of info you could possibly have.
Len