I don't remember a blue Bible, at least not anytime in the past 10 years or so, but I know the Church produces blue paperback Book of Mormons (Book ofs Mormon?

) that missionaries can give to investigators. They also have black paperback Bibles and triple combinations that are commonly used in seminary classes. You can also get a black paperback copy of the New Testament.
For an order of 50, there might be a discounted option. You could try contacting the store:
https://store.churchofjesuschrist.org/usa/en/contact
You could also check with CES leaders in the area (seminary / institute) or the local mission office, who might know of other options to buy paperback scriptures in bulk.
EDIT: After posting, I ran across these pass-along cards that show a blue Bible:
https://store.churchofjesuschrist.org/u ... 85050789-1
I'm not sure if they can be purchased in bulk, but calling the online store might be an option.