I'd recommend anyone who'd just want to read through it to pick up the Contemporary English Version (CEV) as it's easier to understand. But if you want to actually study it the New International Version would probably be the way to go. King James (not the New King James) tries to offer more of an idea of how they may have talked back then, but it's increasingly harder to read as a result. Not sure I fully understand your reasoning for wanting to read through something you don't believe in, but understanding the source material wouldn't be such a bad thing.
Welcome aboard.
Welcome aboard.