DLG did not stand for guide missile frigate. DLG stood for Destroyer Leader Guided Missile. These ships were intended to be the Squad Dog’s flag ship with AA missile capability.
The only double-ended DLG classfitted with missile launchers fore-and-aftwas the Leahy class, the first and only frigate class designed without a main gun battery...DestroyerHistory.org
1011 Harry E. Yarnell (DLG 17) Leahy Class FrigateHazegray.org, Bath Iron Works Production1012 Gridley (DLG 21) Leahy Class Frigate
1013 Reeves (DLG 24) Leahy Class Frigate
1014 Worden (DLG 18) Leahy Class Frigate
1015 England (DLG 22) Leahy Class Frigate
1016 Dale (DLG 19) Leahy Class Frigate
1017 Richmond K. Turner (DLG 20) Leahy Class Frigate
1018 Halsey (DLG 23) Leahy Class Frigate