According to the University of Alabama's website, the HISTORY .pdf link under the Archives tab, these QB's listed below are the best.
ALABAMA’S
WINNINGEST QUARTERBACKS
1. 35-2-1 Jay Barker (1991-94) .934
2. 30-9-2 Harry Gilmer* (1944-47) .756
3. 26-2-4 Pat Trammell (1959-61) .875
4. 33-5-0 Jeff Rutledge (1976-78) .868
5. 22-2-1 “Dixie” Howell* (1937-34) .900
6. 22-8-1 Mike Shula (1984-86) .721
7. 21-3-0 Joe Namath (1962-64) .875
8. 21-3-0 Terry Davis (1971-72) .875
*Gilmer and Howell both played in single wing formations in which they
did not lineup as a quarterback, but were their team’s pass thrower.