The best bet is probably to talk with the leader of the group you are considering going to. Many Bible studies welcome non-Christians. You don't have to be Christian to study the Bible and people are unlikely to get offended in most cases.
Some Bible studies may be more uncomfortable for you than others depending on how they are run and what kind of spiritual things you are comfortable with though. They may include prayer, worship music and confessing sins among other things in addition to time studying the Bible.
Bible Studies do tend to form tight knit communities studying together and often result in really interesting religious and philosophical discussions. If you want a safe context where you can get questions answered about the Bible, it is probably worth trying one out.
As for your scientific background, as long as you don't treat people like they are stupid, you are unlikely to run in to any serious issues. There are, in fact, many Christians who are very scientifically minded (myself included among them). It may make some people a bit uneasy at first, but if you are polite and honestly try to understand where people are coming from and express yourself clearly and respectfully, the vast majority of people will be fine with you.
I've been to many Bible studies where there were non-Christians, young Christians and long term Christians alike. Each have something different they can add and the best groups have generally been those that have a mix of all three.