I bet it probably did have the name on the underside, since the newer galaxy class ships seemed to do that. IE, USS Challenger.
Perhaps I will. It's a nice distinction, anyhow.
As far as the size of the phaser mounts go, they're accurate, if you looks closely at any picture of the Venture, you'll see. It's just that the ship isn't usually seen right from the side, so they tend to be a bit visually compressed.
edit* here's a pic with the extra registry and slightly more contrasting lifeboats.