Mount a jigsaw upside down under a permanent table in your workshop.
Use the jigsaw blade stub as a clamp holder for a 5-inch fret saw blade. Carefully fit it into the jigsaw blade holder. Then fit an overarm that you can fit as a guide and spring.
Apply pressure to the jigsaw handle to pull the blade downward. The spring will pull the blade straight back up.
Adjust the tension of the spring to calibrate it with your fretsaw needs. Begin testing at low speeds and work your way up to the top speed.
Carefully begin using the re-purposed fretsaw for your building needs.