Sorry, but you're wrong.
The assumption of naturalism as the ultimate arbiter of truth *is* a 'theological premise'.
Think about it...
Agree, and generally accepted without any serious thought as to alternative explanations.
My Christianity affords great support to the belief in an understandable Universe, by accepting an"mind" that gives the Universe structure and meaning.
Naturalism gives no such support because it assumes that that Reason is also a natural process, in which case the very thing used by naturalists to explain the Universe, Reason, is itself a part of the Universe, invoking irrevocable, circular logic, as a thing can not be used to explain itself
Only by accepting that Reason is "Meaningful" can one then accept the construct of Reason which is Science. This begs the question of what gives Reason "Meaning".