You can buy Bibles in most of the larger bookstores; there are dozens of Christian books - Bibles, concordances, writings of famous Christians - available for sale in the larger, better equipped Chinese bookstores. In fact you can even get Bible stories for children at the better bookstores in China; I know, I bought that very book for my GM's niece, at the Shanghai Book Mall (something like 6-7 floors of books - a HUGE bookstore).
Possessing or distributing Bibles won't get you into trouble; it's doing so with Bibles not taxed/declared. Of course, that's true for just about any item as well.
For that matter, I've even bought domestically printed Mandarin translations of Milton Friedman's classic Capitalism and Freedom - something you'd think would be even more forbidden in China!
I’ve never been to China. So, what do you think motivates groups like Voice of the Martyrs to write such stories about China. Do you think you have more freedom as a foreigner?