I think in this situation semantics are important for clarity. Higher power has, as far as I'm aware, always implied a sentient entity.
And saying that the Big Bang is what created our Universe is a misnomer. This is where the semantics are quite important, because some define the Big Bang as the initial state of the Universe, where all matter was condensed into a point, whereas I've also seen some describe it as including when all the matter came into existence. However, saying that it includes the time when matter came into existence does not make it a creator, or a higher power. It's simply an event.
Even if you define higher power simply as an event/entity that creates something, then every single entity is a creator, assuming that the object can interact, and through that interaction leave a byproduct. In so defining, you eventually work your way up in scale to having the Big Bang being a creator. But then you must ask the question of how did it come about. Since we can't answer that, one possibility is to assume that something caused/created it, but that just begs the question ad nauseam and has no scientific merit.
By saying that the Universe was created by someone or something, your "higher power" only introduces a meaningless philosophical question that has absolutely no place in the scientific method.