My best remaining wall was cinder block, so I mounted a drawer pull with a ring on it there. For me, perfect stropping height is at the outside of my elbow, when my arm is bent 90 deg toward the wall. That makes my left arm comfortable holding the strop taut, and puts my right arm's motion smack dab and comfortably in the plane where it needs to be.
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For adventure stropping, thebigspendur's dog tug-of-war idea is the bomb!