Step 1: Use a sanding drum in place of a jointer
In the graphic the sanding drum rotates in a counter-clockwise direction. The work moves over the table from right to left.
Cuts taken are very light. Flip the work over frequently so both sides of the work are staight and true when finished. When the sanding drum no longer cuts, loosen one of the "C" clamps and move that end of the fence nearer to the sanding drum only about the thickness of a pencil line. Clamp again and continue feeding the work past the sanding drum.
Step 2: Equipment
Step 3: The mandrel
Sanding drums are available through Sears Craftsman and other sources. Get one about two or more inches in diameter with a face two or three inches long. Although not easy to predict for the long term, give some thought to the availability of replacement sanding drum sleeves.
When you are finished, the sanding drum should run without vibration.