Thought I'd mention that I saw 3/4" Birch and Oak hardwood plywood at Home Depot for just under $50. However there did seem to be some voids in the plys that could be seen from the edge.
I keep seeing hardwood plywood recommended. Is there a void free hardwood plywood? Maybe a cabinet grade void free hardwood plywood?
One thing that I'm not getting about all this is why the veneer on the plywood matters. Once you run screws into your bracing, the veneer is shot. I can't imagine doing all that fastening from the inside of the box.
I'm going to give you a direct piece of advice. MDF is better and easier to work with. Forget plywood.
Now you don't need to put any fasteners in from the outside. You rout all edges, rout for the braces and and use tons of Tightbond glue. You need lots of cabinet clamps. You clamp it together tightly with cabinet clamps until the glue sets. You don't need fasteners. If you plan your design right you can cover exposed edges with oak strips and quarter rounds.
Make the speaker face 1 1/2 inches thick. Use retentive bolts for the driver, and rout the baffle so the driver is flush. The driver mounts from the front.
Fill the cavity with Polyfill. It must be completely filled but do not compress it.
This might give you the general idea.
http://mdcarter.smugmug.com/gallery/2424278_zibdm#127083295_J9QXN
Try and avoid having to use veneers. They are very expensive and often peel down the road. The veneered MDF boards have industrial bonding of the veneer. Don't even think of using plastic veneers, they are a dead loss.