The idea of putting down a line of tape and cutting down the middle would end the fraying nightmare. Personally, I doubt that I would have the dexterity or patience to pull the masking tape off while wetting out especially when I had a pot of epoxy getting warm.

On the other hand, like John shows later in this thread, if you left the taped edge sticking up like a flap or laying over an edge it would be a cinch to slice off with a sharp knife when it got halfway cured. Or sand at an angle to the edge after it cured.

Neat trick taping the glass to cut. I'll definitely be incorporating that one. That combined with a rotary cutter against a metal straightedge will make cutting bias strips a pleasure.