Be sure to put the tailfeathers on before carrying it around in public, or you might get arrested ...
Here's a tip I was planning to try on my next carved plug, but you beat me to it. It ought to work just as well for the pink foam as it would have with soft balsa -- in fact, it might be a good precaution when working with the foam, which tends to disappear pretty fast when you sand it. The idea is to lace your plug material with
internal templates made of plywood, then sand down to them.
Draw it out in CAD with the exact profile shape (sounds like you've already got that part, with your 1/8" Baltic birch profile plate for each half) and also the cross-section at the nose ring, firewall, leading edge, canopy location, trailing edge, and front of the horizontal stabilizer. Transfer these cross-section shapes to 1/64" or 1/32" plywood, cut them in half at the middle (minus the thickness of the profile plate), and mark the locations where they will go on the profile plate. Remember those old Guillow rubber-powered models, where you built each half of the fuselage separately with formers and stringers? Same idea.
Last step is to take your hot wire and neatly slice the foam log into sections the same length as the distance from one former to the next. Start at the nose and work your way to the tail, alternating formers and blocks until you run out of both. Pin the halves together and sand until you hit plywood. Finish it with glasscloth and you're done. No muss, no fuss.
Square Bob Foam Fish