Guessing random Atlanta Braves players from the past: Wicked difficult

Can you guess this former Atlanta Brave in before using all five of our hints?
New York Yankees v Atlanta Braves
New York Yankees v Atlanta Braves / Todd Kirkland/GettyImages
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Chicago White Sox v Atlanta Braves
Chicago White Sox v Atlanta Braves / Brandon Sloter/GettyImages

Hint #3 (Individual Accolades): This player was an all-star two times in his career (2000 and 2005). He also finished 26th in Most Valuable Player voting in 2005. That may not sound too impressive but for a closing pitcher, that is a remarkable feat.

Hint #4 (Braves Stats): This player was with the Braves for the end of 2006 and the beginning in 2007. He finished the 2007 season with Arizona Diamondbacks where his career would come to an end.

He was a relief pitcher that appeared in 77 games for the Braves. He posted 38 saves and struck out 60 in his 69.2 innings of work. Unfortunately he was also known to blow games as he had a 3-5 record with Atlanta. His ERA across this time was 2.84.

Hint #5 (Random Fact): This player had two seasons where he led his league in a category. In 1994 with the New York Yankees, he led the American League in game appearances for a reliever at 53. In 2005 with Cleveland, he led the American League in saves with a total of 45.

Do you know it now? if so, check yourself on the last page. If not, click next anyway to see if you remember this player in a Braves jersey.