You don’t have to believe in the big bang to not believe in evolution.
In fact, since they are both about science, you only have to accept what can be proven. Evolution hasn’t got a single stitch of prove to back it up.
The issue the ‘big bang’ has is all the stuff that came from it. Matter can’t be created or destroyed, just converted, so going from nothing to all this stuff is a problem.
These aren’t religious questions at all.
http://www.sci-news.com/astronomy/science-universe-not-expanding-01940.html