Do you think it is possible for a professing Christian to be agnostic? Do you know any that fit the description?
It has often seemed to me that a Christian should be able to claim the descriptor "agnostic" as well, provided that they acknowledge their faith is more a matter of hope. Some beliefs are operational rather than evidence based. Most of us don't bother to come up with formal arguments to support our assumption that our memories are based on actual past experience and not the diddling in our brains by some mad scientist. So operationally I am a realist whether or not I can defeat every contrived alternative explanation.
I know one Christian on-line who is a highly educated linguist with much, much more knowledge about interpreting text than I'll ever have. She does not come right out and say she is an agnostic but she acknowledges she could be mistaken about what she chooses to believe on faith. She thinks Christian apologetics is pretty pointless, but no more so than the arguments against the existence of gods made on the other side.
I can't help but respect her so much more than the vast majority of Christian I know and meet. Unfortunately Christianity seems to consist of a small, educated leader class (not all of whom are all that bright) and a huge, uneducated follower class who are often entirely uninformed about the tenets of their religion except for the guidance provided by the leader class.