Blewett has three seasons of experience in independent minor league baseball. He most recently played in Evansville in 2012, where he finished with a 2-1 record, a 1.06 ERA, and 51 strikeouts in 42.1 innings pitched in seven games started.

He has a minor league career 15-14 record with a 4.11 ERA and 199 strikeouts in 245 innings pitched in 44 games, 42 as a starter.