I am sure there must be a company out there that makes custom PCBs, and I am wondering if anyone here has any recommendations. Maybe not even a company, maybe just a person who can make custom PCBs.
I do not require components, just the board with traces.
I use Advanced Circuits (4pcb.com) all the time (no affiliation to them). They run a $33/board special (minimum 4 boards).
You will have to provide them with the Gerbers or you can use the free software from Advanced Circuits to design the PCB.
FYI, if you are interested, I run a business of designing PCBs for various clients and use Advanced Circuits to fabricate the boards.
BatchPCB is good for prototypes- high per-unit cost but low initial cost. That means if you start making a few of the same board, it's cheaper to look elsewhere. But if you need one of many different boards then it's good.