You are not required by any Teaching to believe in the Big Bang. Right now, that is the only plausible explanation science can come up with to explain most of the things we see in the universe. But it has limits. The mathematics of it only work to certain point, as does any formula that approaches zero or infinity. There are certain limits of physical laws that, if they continued to work all the way back to just before the Big Bang, would preclude it from ever happening. Science answers this by saying the laws did not exist until some finite time AFTER the BB - which allows the laws to work and the math to work - but offers no proof of it, only that it would “have to be” that way for the present schema of BB to work.
The mass in the universe does not all add up to what it needs to be. There are galaxies way too far out in space for them to travel that far using nominal ages of the universe. In other words, if the universe is old enough for those galaxies to be where they are, we would not still be here. We are here… so… something got them out there that far. What was it? The current idea is that they initially moved outward (from a BB) much faster than they travel today. Problem with that is, if they kept going at that speed, they’d be farther away than they presently are. Therefore the only way it could happen is that they moved out fast and something acted as a “brake,” some mass gravitationally pulling on them to slow them down to the rate of speed they move today.
This is the mass we cannot account for. There have been many ideas, string theory, dark matter (invisible mass), etc. but we simply do not know at this point. BB is the best model to explain it all in some kind of physical sense, but the theory has many limitations science hasn’t filled in yet, if they ever will.
Equally silly is to depend solely on scientific examination to define God or His power. If you hold to the idea that there is absolutely no way God could have made the universe in 6 actual days, then your God is not omnipotent, He is a slave to mankind’s thoughts and discovery. Mankind has yet to offer a theory on how dead are raised, hosts turn into flesh and blood, miraculous cures happen, so there is no reason to think they own the Creation time line.
There is no “preferred” belief. You can choose to believe Creation in your own way so long as you follow the guidelines given by the Church as regards evolution.