"Scriptural meaning" is NOT part of "etymology". There are some books written by evangelical
Christian authors that give so-called "sciprtural meanings", but these are completely the interpretations of the individual author and don't have any historical status. If you want a scriptural meaning for Beasley, you will have to get a concordance and look through it to find a Bible verse that is related somehow to its etymology.
And the etymology of Beasley is that is is original an English surname indicating that one's ancestor came from a town called Beesley in Lancashire, England. According to Hanks & Hodges's
A Dictionary of Surnames, the place name was originally from two Old English words that meant "bent grass" and "clearing".