Eugene, the pattern is the most important part of any mold. People often get caught up in the technology of sand, or furnace refractories, burners, metal composition, gating and risering, fuels, etc. in casting. Yet knock a couple pieces of wood together for a pattern.
Casting starts with the pattern and its finish.
I spend a lot of careful time with very fine sandpaper, even on the foam cutouts to get them as good as I can before using them. More time than they took to cut out by machine. I use little strips of sandpaper under a strong light. Oudtoors on the porch in summer is perfect!
I do the same with wooden patterns, and use filler and sanding sealer coats, each sanded down, and several coats of spray colored lacquer to finish. Most of my practice for this kind of thing comes from building model airplanes, which I've been doing as a hobby since I was 14.
Oh one other thing about cnc hot wire foam cutting. You need to go VERY slowly for a machine process. 1mm/sec to get good quality cuts. and you need thin wire and low temps to match. I use .011" stainless steel fishing leader as a hot wire.
If you don't have a good pattern, all the time and money in the world invested into the latest metal casting forum technology will just get a person a lump of scabby metal. Sand break outs happen because the pattern is rough. Inclusions ditto.
Conversely, I've found that the crudest casting equipment will turn out good faithful castings with good finish if the pattern is good and the technque is sensible. My iron foundry is made from ordinary firebrick, and clay and sand. The fuel I use to cast in aluminum is store bought charcoal briquets or home made charcoal. For the last few zinc castings I just used wood for a fuel. Ordinary plaster of Paris with no additives, no bake out, air dried for a few hours and ordinary scraps of foam were used for a pattern.
I like simplicity, and I am impatient, and I hate to waste things. I use what is available and try to do a good job with it. I study what happens and I gradually think through why it didn't go as I wanted. Eventually the problems get worked out by trial and error until I understand my own equipment and materials.
Anyway, it is great that you ask, and the answer is a lot simpler then I've ended with here. Just take a little sandpaper and do a very careful job, with a light touch. A few times through it, and you'll get good at it. It's nothing more than that.