Are the seed stitch borders going to be able to be down or up, like cuffs that you would be able to roll up? Or are they going to stay on the inside all the time? If they are inside all the time I think I would work across from a knit, to a purl bump, to a knit again, etc. using a sharp (dull will work too, just a bit more effort) needle and divide the yarn. On the purl bumps divide the bump itself and on the knit stitches divide one leg of the knit stitch and then move on to the next purl bump. Work it in this way for 1 1/2 inches or more and I don't think it will come out or show on the right side.
If it needs to look perfect on both sides maybe you should work the ends into the seam allowance. That will make the seam a little more bulky, but hopefully all right.