Attach the hammock to the mast by tying it to a ring or car on the spinnaker pole track. Or barring that by making a long loop out of a piece of webbing, & putting a big Prusik Knot
around the mast. Ditto with the end on the forestay, meaning use a webbing loop to put a Pruskik Knot
around the furled jib. And if you like, you can also connect a halyard to where the hammock connects to the Prusik Knot around the jib, so that there's zero vertical strain on the sail/furler.
The Prusik Knots when done with webbing should spread the loads out over a fairly decent sized area, thus minimizing the point loadings on anything. Plus webbing will give the knot a better grip than if you make it out of rope. And if you like, use 1.5", or 2" webbing. But regardless of webbing size, tubular should grip better, & more evenly than will flat webbing.
Or in a pinch use some double braid with the core
removed. It grips like crazy when used in friction creating type knots like the Prusik Knot.
BTW, it's easy to DIY
your own "Tacker" using sail cloth, or canvas/Sunbrella, some webbing, & a pair of D-rings. Or have your sailmaker
sew one up for you. As similar type "fittings" were used to connect the main sheet, & vangs to booms on racing
boats not too long ago. Just prior to Spectra becoming common.