A freshly rebuilt 360 with even a factory non-HP cam will "run good". A generic Chevy grind Summit cam will "run good" but pretty much any other cam will run BETTER... This goes for any off-the-shelf cam really, everyone who has one says it "runs great" but they wouldn't really know unless they swapped in a custom-ground cam specific to their engine and compared it back-to-back. If you're spending the money why not get all you can out of each dollar spent?
Also something to consider... while it is a lot of work, it is possible to swap out the cam for another one later on after the engine is in the car. You can get a shorter-overlap cam that works with the tall gears and stock converter for now, then after you upgrade those parts you can get a bigger cam to suit.