Excluding BDS and Legion Field, I've seen Bama play 61 times. The Tide won 45 of those and lost 16, for winning percentage of 0.738. Details as follows:
Baton Rouge, LA - Won 6, Lost 0 (1.000)
Oxford, MS - Won 4, Lost 0 (1.000)
Gainesville, FL - Won 2, Lost 0 (1.000)
Arlington, TX - Won 2, Lost 0 (1.000)
Dallas, TX - Won 1, Lost 0 (1.000)
College Station, TX - Won 1, Lost 0 (1.000)
Columbia, MO - Won 1, Lost 0 (1.000)
Fayetteville, AR - Won 1, Lost 0 (1.000)
Jackson, MS - Won 1, Lost 0 (1.000)
Memphis, TN - Won 1, Lost 0 (1.000)
Glendale, AZ - Won 1, Lost 0 (1.000)
Atlanta, GA - Won 7, Lost 1 (0.875)
Auburn, AL - Won 3, Lost 1 (0.750)
Knoxville, TN - Won 3, Lost 1 (0.750)
Nashville, TN - Won 3, Lost 1 (0.750)
Miami, FL - Won 2, Lost 1 (0.667)
Starkville, MS - Won 2, Lost 1 (0.667)
Pasadena, CA - Won 1, Lost 1 (0.500)
Lexington, KY - Won 1, Lost 1 (0.500)
New Orleans, LA - Won 2, Lost 3 (0.400)
Columba, SC - Won 0, Lost 1 (0.000)
Jacksonville, FL - Won 0, Lost 1 (0.000)
Norman , OK - Won 0, Lost 1 (0.000)
Tampa, FL - Won 0, Lost 2 (0.000)
Thanks for asking the question - it was fun to look back, figure it out, and reminisce!