First off, congratulations on making a handy little PCB, *and* putting together quantitative specifications, a test jig, and at least looking into the costs of volume production. If you've just graduated, then you're already ahead in terms of commercial skills than many of your peers.
This project will look good on a CV, and do bring a few examples to any job interviews you attend. Leave them behind as calling cards; they'll make sure you are remembered in a positive light. It's always good to be able to broaden your skill set and to demonstrate what you can do.
Even though I design stuff for a living, some of the most worthwhile projects I've done have been those that I've done myself just to learn new skills. I didn't make a bean out of them directly, but the skills I've developed on a "me" project that never had to be commercially viable have been invaluable. So keep doing them whenever you feel they're worthwhile.
But...
- I'm willing to only make like 1$ profit on each board, just so I can at least get back the time I've put into it and sell it cheaper.
This is a real shame, and it's why I think you should consider drawing a line under it before you invest too much.
Your time is worth a heck of a lot more than $1/unit for a handful of units. Doing your degree has meant expending a great deal of time and effort, and no small amount of money, and you owe it to yourself to capitalise on that. I'd be very surprised if you make a profit on a board like this, and even if you do, you'd probably have been better off in monetary terms flipping burgers.
Treat this board as a learning exercise. The distributors you've spoken to have already given you a strong indication that they don't think they'd make any money out of it themselves, otherwise they'd have placed an order with you. "Not taking on stock" is a lame excuse; if they saw an opportunity, they'd take it.