For what it's worth and though I admittedly had some question at first, I don't think you're either an athiest or a Christian. It seems to me that you are a seeker, with some genuine questions, and some bad experiences with Christians.
The question is a simple desire for evidence other than a book that man has written, deciphered, adapted, and rewritten many times.
OK then, what are the extra-Biblical evidences to the reality of God?
When I mentioned science, I didn't place science in opposition to religion, because I don't believe that it is. All scientists are folks like you and me. All will bring their own bias, philosophies and religions, (even if the religion is a non-religion such as atheism) to thier theories. This is why there are both religious and non-religious scientists and religious and non-religious scientific theories. I believe that examining scientific truths to be a great way to start a search for god, because they can form a foundation upon which one can apply logical principles.
A logical place to start would be the existance of order in our universe. There is order in the cosmos, there is order in the way life has shown to be evolved here, there is order in even the cells and their functions. Frankly, I cannot think of anything, when brought down to it's most fundamental level, that doesn't show consistancy and order.
It may be up to religion and philosophy to define what causes and effects order has upon the universe, but that order exists has been more than proven by science.
As of now, because there has been no scientifically proven theory, it is a religious and/or philosophical question to ask where the order that is in our universe came from. That chaos can come out of order seems logical enough, because we can witness the break down of order into chaos. I've yet to see anything that shows with any consistancy whatsoever, the rising of order out of chaos. When one asks the question "Where did order in the Universe come from?" one is asking a religious question.
This is the beef with the Intelligent Design crowd, that they are accused of unscientifically saying that with design, there must be a designer. What is also true, but not acknowledged is that it is just as much a religious leap for a scientist to say that there can be design with no designer. The ID scientists are not trying to define who the designer is at this point, just to get an acknowledgment that the overwhelming body of scientific evidence points to a universal designer. For whatever reason, the non-religious scientists want us to reject the very idea of a designer, even though they put forth no viable theory as to how order came to be without one.
Now, freedriver, this is an example of at least one extra-biblcal evidence to a rational belief in God. I'm not asking to you accept it, just to see the examination of an ordered Universe can lead one to a rational acceptance that there is indeed a designer. And, by all means, to study the order of this universe for yourself, from the cosmos down to DNA, and ask yourself how it all came to be without a designer.
I know that you reject the Bible, but if you're interested I can point out some rather interesting things within the ancient Scriptures that we know are at the very least 1500 to 2000 years old, that have a curious compatability with modern scientific theories and delve into why that would be.
Or, there are also historical evidences, as well as philosophical evidences and personal testimonies that all point to a rational belief in God without going into examining the Scriptures. If you're interested, I'll be happy to discuss some of the ones that made an impact on me in my own search regarding God.