To some extent you're correct, epistemologically speaking, and a good portion of the 'truth' which both you and I would really like to have about God, if He exists, seems to be not only shrouded in mystery, but locked up in it. With that said, while I commiserate with you about the limits of what it seems that God, in His Hiddeness, is permitting us to ponder, I still don't personally define faith in the way you're doing. For me "faith" is a response to THAT LIMITED AMOUNT (or set) of revealed content that God has provided through the (primarily) Jewish people.
So, for instance, since Paul the Apostle was a 'part' of the historical revealing of the Gospel of Christ to the world, however existentially paradoxical and less than satisfactory all of this kind of thing may seem to be for many people, I won't say that I have "faith" that Paul existed. I will say that I have "faith" that what Paul talks about to the Church of Christ, in concert with what the rest of the writers of the Bible also talk about in their own individual ways, is 'true' and therefore provides metaphysical and theological meaning for me, but I don't expect that it will do so automatically for everyone else.