Not sure about the badges.
So 350 HP/380 TQ. That should be feasible if you're talkin' at the flywheel. Those iron GT-40s I was talking about can put you there. Here's some more info on 300RWHP with GT-40Ps:
click here You actually need 305 RWHP to hit 350 flywheel and that's probably if you have a stick. General rule of thumb for HP loss through drivetrain is 15% with a stick and 20% with an auto. So, I'm pretty sure you got an AOD with your Bird, so a looser converter should do ya well. Have one made as per your cam specs.
You'll have to add a little things to them GT-40Ps to hit 300 at the wheels. Stuff like proper ratio rockers, springs, valves, retainers, etc. But it should all tell you in that thread I posted, if you're interested. Even if you went with aluminum heads, such as AFR 165s or some TFS Twisted Wedges, you probably wouldn't be right at 300 to the wheels. Usually when people put those heads on their stock shortblocks (along with a cam and intake), they usually put down 270-290 at the wheels, and they cost you over $1000/set. Keep us posted.