From the Roger Connor files:

Did you ever wonder who SFL's past lifetime batting average leaders were? Here's a rundown.

1983-84: Bill Weinberg
1985-87: John Decker
1988-89: Bill Weinberg
1990: Jose Balento
1991: Bobby Naranjo
1992: Jose Balento (now #16)
1993: Bobby Naranjo (now #17)
1994: Larry Savell (now #6)
1995: Phil Kotik
1996-97: Dan Schneider
1998-2000: Phil Kotik (now #4)
2001-05: Dan Schneider (now #3)
2006-09: Chris Hall (now #2)
2010: Ian Lebowitz

I set the current requirement at 1,000 plate appearances, however up until 1993 qualifying limit rises incrementally each season, which is why John Decker and Bill Weinberg drop off the list. I might re-think that later, we'll see.