I did some research over at my blog today. I looked at errors by position, year by year for the Greeneville Astros. Going into this year, the teams with the fewest errors were:
2010 - 97 errors (31-35 record)
2006 - 98 errors (34-33)
2005 - 102 errors (29-37)
2004 - 105 errors (41-26)
This year, with five games left the 2012 edition has made just 69 errors! Here is the link to the blog and the numbers.