Dr. Chris Heard, professor of Hebrew at Pepperdine University, said:
Style tip: capitalize “Biblical” if it’s part of a proper noun, as in “Biblical Hebrew.” Otherwise, don’t, as in “the biblical text.”
In response to a question on whether to capitalize words about Jesus someone else answered for him:
a Hebrew scholar, would not capitalize them, since there are no “sacred” pronouns in Hebrew.
Apparently this is coming up in multiple places in my life, as per the comments/question on Capitalizing God.