360 Street/Strip Cam?

My advice for the OP is to buy another 360 core or at least a short bock and start saving $$ for parts and machine work. Drive the car while you're building the new engine. When you have the new engine finished sell the one currently in the car.

11's with a 360 shouldn't be hard, My 340 did it with light flat top pistons, a hydraulic cam and a good set of ported Edelbrock heads. As others have mentioned there's more to it than just the engine, it'll also take the right converter and rear gear too.