unprovably true and provably false are not the same thing. While you may be able to state a case in doubt of either theory, to prove it false you would have to prove a different testable hypothesis as true.
evolution and ‘big bang’ cannot be proved true, unless of course someone can invent a machine that can observe the universe from outside and throughout time for direct provable observations of both. While at the same time not get destroyed by the cosmic forces battering it in the process. Proving creation or intelligent design basically requires the same sort of set up.
Everything we suppose on creation is based on guesses, some good and some bad. To say that one theory or the other is absolutely correct is ‘not even wrong.’ That means endless threads debating the issue like the proverbial dead horse.
The Big Bang can be proved false.
If, as is suggested, the universe expanded outwards, bubble-like, and we exist within that expanding bubble, there should be one visible direction which is older than all others; one visible direction in the sky where older, more distant galaxies, with smaller angular seperation (and higher redshift as this is consistently a function of distant for whatever reason). But this is not the case. The most distant, smallest, highest-redshift objects are observed uniformly across the sky, contradicting the theory.
I currently have no way to disprove evolution as conclusively, but there are many counterexamples, and artifacts which the theory does not explain.
That’s not to say I think the big bang theory is incompatible with the Bible. It’s just scientifically wrong.