Heh, I never thought of that.
Still... a little too "modern". The Daedalus always struck me as cylindrical, and this is too flat.
Funny you should mention that, I pictured your miranda/daedalus cross idea as the design that first suggests saucers instead of balls. Here's an example, made this one from scratch, so it's not as detailed, but more along the lines of how I see it working out.
With time, the ball would move back into the middle of the saucer, with the parts protruding above becoming the bridge module, and the parts bellow becoming the phaser bedding/sensor array.