Unless the manifold is super rusted out, I suspect that it is just the down pipe that blew out. So, you don't have to remove anythig from the top of the engine to replace it. However, it you blew out your exhaust manifold gasket, you will have to pull the carb and intake manifold as well to replace it. If replacing the gasket set, you wil have to start by draining the coolant since most eagle have it routed through the intake to help warm up the air when the car is cold. Then you will have to disconnect the carb and remove that as well as some sundry electrical connections. Unbolt the donw pipe from the exhaust manifold using as much penetrating oil and swear words as will allow the bolts to finally let go. Then unbolt the manifold(s) from the block. Clean them up with a wire wheel in a grinder and replace the gasket set. Installation is in the reverse order. Apply more foul language & beer liberally as needed! I would suggest taking pictures and writing yourself some notes as you remove to help you when trying to put it all back together. It really ins't all that difficult, just a bit time consuming.
Cheers