How about blocking being used as checking or jamming when they make a move or get ready to move on you? Then short strikes, elbows, grappling, pressure points, etc.
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Member of DaJoGen MMA school under Dave Hagen and Team Chaos fight team under Denver Mangiyatan and Chris Toquero, ran out of Zanshin Martial Arts in Salem Oregon: http://www.zanshinarts.org/Home.aspx,