Try using you volt meter in "AC" mode, with engine running, if there is an AC voltage reading at the battery posts, it could be a burnt diode in the Alternator.
This is how I found the alt was killing my battery in my Ford Escape...
1986 F-150 Flareside 4x4, 351, 4-v, ZF5 speed. AC, Cruise, Tilt, Slider, Digital clock, Radio, Lariat seat, Pwr doors/locks