I don't know of local resources, but I use these folks in Santa Barbara CA: https://www.expresspcb.com/ they give you easy to use schematic and layout software -- which use a proprietary format, so not transferable, but did I say, free and easy to use? -- and have a 3 day turn around time.
You can also laser cut a spray painted blank board, then etch away the exposed copper, remove the rest of the paint, and you have your pcb, it's more work, but it's a way to do it.
Funny, I was just wondering about doing that. Still have to drill the board, although after etching the copper would be clear and maybe the laser could be used on a second pass? However, in private conversation, I found that the OP on this thread was looking for surface mount board assembly shops that could do pick'n'place with minuscule parts.
The laser cutter has trouble cutting the fiberglass, I was thinking about the same thin, you can get a miniature drill on ebay, and 3d print a simple press