presuming you have gotten the splint worked down close to finished thickness, I would follow the same method for tillering it in as with a new stave to the point where the bow can be braced. perhaps back to the longstring? and not drawing past where you can see a hinge developing, etc.
At brace height, and because the split is new materiel being married to a belly already having been drawn further, I would consider a method advocated by Paul Comstock for new staves. Once he braced a bow, he left it strung for a number of hours to "sweat in the compaction".
In your case of a splint, you would be trying to find a way to "exercise" the new materiel, without overstraining the adjacent limb area, so the bow might need to be re-exercised as it is retillered all the way out.