Bravo! Questioning, especially one's own beliefs, is a beautiful trait for a scientist or a person seeking spiritual truths. In fact, it's the proper stance for anyone seeking answers of any kind.
As a spiritual Christian in a denomination of 1, I question my beliefs all the time.
Your use of the word "faith," though, carries with it a degree of confusion. Certainly, there's one definition that is approximately equivalent to "belief," but there is a kind of "faith" that transcends all such imperfect states of mind. This is the kind of "faith" used by Peter when he stepped out of his storm-tossed boat onto the unsettled Sea of Galilee to stand before his master. You can't do that with mortal "belief."
I think I understand this subject better than 99.9999% of Christians, because I have experienced dozens of miracles. As a scientist, I also understand how such things are outside the realm of science, but some aspects of scientific acumen can be used on the topics of paranormal, Faith (as I use it), and creation.
Science studies the continuity-bound realm of physical reality. Spirituality involves the topics of the discontinuity-bound realm of creation. Science studies the products of creation, and thus science could learn a great deal from spirituality, if it stopped being so biased. Regrettably, science took on a paradigm that is heavily biased -- that of skepticism, steeped in the potent bias of "doubt." Peter would never have been able to stand on that water, if he had used the imperfect and biased scientific paradigm. (And science would be better served by restraint and humility as paradigms.)
Questioning one's beliefs is part of the best of Christianity, because it helps subdue ego (the source of all evil). Those so-called Christians who refuse to question their beliefs are being arrogant and lazy, and they're giving support to the source of evil (unknowingly, of course).
The old, wise saying from the East of the empty tea cup is very appropriate, here. If your cup is full (you pretend to "know it all"), then you cannot learn anything new. Humility is required for both scientists and the spiritually inclined, and some people never learn this.
As for God not showing Himself to non-believers, that's by design. This is a rescue mission, and you cannot be pregnant with spirit (ready for the escape), if you refuse to look. That's the simple truth that many skeptics and "believers" alike fail to grasp.