Lumberyard wood is already kiln dried. No need for additional drying.
You're making a Tri-lam bow. Back-Core-Belly. The Hickory is the Back. Stabilcore is the Core, replacing the usual wood core. Oak is the Belly. I don't think that Oak, by itself, will stand the strains of compression from those materials.
Let the Tri-lam builders chime in on this!