If the airplane is in 3 dimensions, not a simple 2/2.5D cut then Carbide Create won’t do it.
Meshcam will do the 3D, but there’s no “layout” per se’. If I was to use this I would use Carbide Create to hog out most of it (make an outline of the 3D area and pocket all around) and do the lettering, then use Meshcam to do the 3D, but that gets more complicated.
I have no experience with Fusion, can’t comment other than many people like it and it’s free for hobbyists.
I use Vectric VCarve Desktop for almost everything since I bought it and this would be my go to and simplest. Lay it all out as one file, save as two (name on left, one right). Resize your material to half, trim and close paths. Open opposite side file, shift all vectors over by one material width, trim, close. There’s a little more to it than that, but that’s the basics. I’ve used a ton of graphics/vector/CAD software over the years and I found the learning curve of the Vectric products to be EXTREMELY simple, but then I also spend 2 weeks a year in school for work “refreshing” my skills in Catia V5 (which I’ve been using for years, but I will never master). It’s honestly the easiest software I’ve ever learned and very capable, even the “Desktop” version that I use is great, only real limit for me is work pieces under 2 feet square.
In the end there’s a 100 ways to skin a cat, but these are my thoughts on the strategy I use.