Welcome Tim!!
You create a new problem for yourself by combining dissimilar materials. SOME woods will respond to the buffing, many will not. AND, they will not be likely to be very durable. On the other hand, a CA finish will not hurt or help corian. CA needs to "soak in" to create a finish and corian is not porous.
So, a lot depends on the KIND of wood, but, in general, rethink combining these two - corian and resin will work, though.