So here's what I've done to complete this particular tapestry.
1. Before beginning the piece I made a decision about how I would finish the tapestry without hems. I was going to use a very thin light color border around the whole piece--so I reasoned that I could let the warp show a tiny bit at the edge. This would eliminate the bulk of a hem for the 6 epi sett with a 3-fold weft. I knew I'd either use half-Damascus edge to secure the warp ends and tuck to the reverse at the same time, or that I would "hide and snip" the warp ends. That's my term for what happens when alternate warps are threaded up along the channel of an adjacent warp. The warp that is secured within the weaving creates a loop at the move over; the warp it goes up along is then snipped off flush at the edge of the weaving.
2. I cover the warp ends with a binding tape. Here I've used cotton twill tape that I bought from Near Sea Naturals. I basted the twill tape in place then stitched at each side, again using the curved needle.