Be sure to read this new blog series on Christians, copyright and the Bible written by Nathan Smith at The Library Basement. It lines up some of the basic issues and tensions around restricting the use of newly translated biblical translations. (He doesn't get into the value of giving preferential value to some translations or publishers, or applying organized pressure, so I'll mention it.)
Therein, Smith makes reference to a new permissively-licensed (but alas, not a licence used in common) Bible for noncommercial use: the Lexham English Bible. I can't vouch for it, but I have downloaded it and will add it to my reading mix.