Without a picture I’m going to make an assumption here. On your clamp bracket that holds your shaft, does it not have a bolt or pin that holds it to the actual tilt/fold arm. If it does, remove that portion, then get a couple ov c,clamps and fab up a mont that you could clamp onto side of boat. If only using 36” I would think you could unclamped and lay in boat about as easy as creating a folding bracket. Actually you might be able to cut off a portion of the tilt arm on existing bracket and use it to create a clamp on folding bracket where shaft would pivot in and out on that mounting pin.
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Charlie Weaver USN/ENC 1965-1979