Your 3D model program/software has to be able to run through a converter or it be imported into a program to generate the G-code a CNC machine uses to cut and machine the part.
Another option, make your model in foam and have a 3D scanner scan the part, it can then be post processed to generate the 3D printer input needed.
The challenge you face working in foam or wood to create the model is that of symmetry. If you use templares from side to side you will be able to maintain that symmetry from side to side or front to back is much easier to achieve.
Think about the problem in a different manner... what do I mean? If you section a model or a part into cubes or slices you can achieve symmetry easier. If you know the shape/profile of the beginning and end of a slice you can often connect those two sides with a straight line. Those that are are a contoured or a curved transition from one edge to the other. From side to side you mirror the profile...since most tail sections and seats will be symmetrical from side to side.
You can cut foam with a hot wire, stainless steel fishing leader with a couple amps at 12V is capable of cutting blue, pink, or white foam used in home construction as insulation. An insulation supplier often stocks building material foam. Dow (blue) Formular comes in a few different densities, they have a 150 and 250 version are different weights and the texture becomes finer... they both will sand very smooth with coarse to medium sand paper as well as Surfoam "plane" which is made by Stanley and is like a cheese grater. You can rough form large pieces with the Surfoam products but, if you cut the part through a series of slices assemmbled and glued together in a stack. In that case you would skip the Surfoam planes and go to sandpaper. When you cut those sections to cut them a tad oversize to sand to profile and transition between slices smoothly.
Just some input if you want to do it manually...
arediffernt weights and textures. They will