First question - Are you going to be using same' , which is the traditional stingray rawhide, or the tanned and soft stuff.
If using same', I would make an exact size solid wooden model of the Kydex sheath. Give it a couple coats of lacquer to make it waterproof. Also, make a wooden insert to fit the kydex sheath ( basically, a wooden knife). This will prevent the Kydex from squeezing in when laminating the same'. Leave a handle on the insert, to aid in holding things later on.
Soak the same' in warm water for several hours. Shape the softened rayskin on the mandrel. After shaping and trimming, bind it in place with cotton cord from end to end and let dry for a week.You want the edges to overlap just a bit at this stage. Remove the cord and the skin will be shaped to the mandrel. Check the fit on the Kydex, and trim the seam as needed to allow the same' to fit edge to edge. Put the insert in the Kydex sheath. If the Kydex has gaps in its seams, carefully seal them with quick set epoxy now, and sand them smooth. You don't want epoxy getting inside the sheath later when you apply the rayskin. Using a good slow set epoxy , install the same' over the Kydex, using rubber bands as clamps. Clean up as much squeeze out as you can. The rest can be cleaned up after curing. This technique may work for your project.
If using the soft stuff, just treat it like leather and make a stitched cover for the Kydex liner...just like making a leather covered wooden sheath. I'm sure there is a "Leather Covered Wooden Sheath" tutorial showing how that is done.