I like the topside location of the Captain's gig. Having it face backwards allows the bridge complex to trail off in more of a teardrop as in the TOS B-C decks, only here, the aft tip of the teardrop doubles as the bow of the gig. It all works, and is within easy walking distance of the ready room. This also allows a bridge crew to go on secret missions without having to pass below decks, as it were.