If you're going fully scale, that horizontal nose surface is REALLY going to bugger up the aero unless you pivot it like a full flying elevator at which point it will act like a canard. As a canard, I suggest a CG about the LE of the main wing. I believe it also had a rudder somewhere around the trunk.
To really get a pig to fly without lifting surfaces, you need lots of vectorable thrust ie: about 2X pig weight. That however will be unfortunate for the pig surviving