In order to accomplish this I would need at least 32 Bitcoin Merchants willing to sponsor a spot on the board. Cost would be between $400-$500 (US not Bitcoins). Sponsorship would include your company name, BW logo, and a copy of the game. If I can get 32 merchants to step up in time Ill get production underway. If not, well just have to try again next year.
I'm not sure which printer you contacted (there are dozens that do this) but your numbers seem way off.
$500 x 32 spots = $16,000 to print 500 black and white boards (average minimum) - that works out to $32 per board? After the bitcoin community pays for the boards and an obvious healthy profit for yourself, what happens to the $30 per game you sell?