Watch the Carl's Shuffle 7 online guitar lesson by TrueFire from Play Blues Guitar 10: Advanced Soloing Approaches
Carl's Shuffle 7 - Solo 3: Introduction is a video guitar lesson presented by Carl Verheyen and is sourced from S.W.A.T. Blues.
My linear approach I call "Improvising Without Scales" is demonstrated here. Obviously you DO need to know your scales, but in the end we forget them and let our melodic sensibility take over.