I know you have probably already thought of this, but I have printed my own circuit boards before, and etched with them with Ferric Chloride.
It is super low tech, but:
1. you just print your design in reverse (using a laser printer, on photo paper) and then re insert the paper and print again over it. Do that until you get 4-5 layers of toner.
2. Put the design over a copper clad circuit board, and press down HARD with a super hot clothes iron for a minute or two.
3. Dissolve off the paper with water, peel away the excess paper, and your left with just the toner melted to the board.
4. Then, use the etchant solution to dissolve away the excess copper (the runs under the toner are preserved) then scrub off the toner, and you are left with a custom printed circuit board.
Alternatively you can use a Cricut computerized "cutting tool" and replace the cutter with an etch resistant pen. I have never done this but it seems like a super slick way to design your own PCBs.
Both of these methods would only allow a one layer board, but with careful layout, you should be able to do it with something like this.
Good luck with the project, I want one soon!