If you are looking for Black Metal that is NOT anti-Christian, you are in for a looong search. Black Metal got its name for a reason -- it is the complete opposite of any religious based music. As a person of faith and also as a promoter who has booked many Black Metal acts, I have a real problem with any band that calls themselves "Christian Black Metal" -- the terms cannot exist side by side. It would be like saying "Christian Prostitute" or "Christian Murderer" -- it cannot exist.
As far as your query goes, like most musical genres, there are bands that do not always follow all of the rules. I guess the first band that immediately pops into my head is IMMORTAL. While some of their imagery contains the upside down crosses, IMMORTAL's music never really mentions Satan, it's just a more generic demonic evil that finds victory throughout their stories and mysticism. IMMORTAL has taken a lot of grief from the elitist Black Metal underground for this very reason.
WOODS OF YPRES would be another band to check out although they are really more doom than black metal and use more clean vocals than black.
BAL-SAGOTH would be another band to check out. They are sort of like a Black Metal Rhapsody -- they have these epic sorts of stories and they are very melodic/symphonic but yet with Black Metal vocals. They are regarded as more of a joke with the BM underground but as a power metal guy, I find them quite enjoyable.
I've always enjoyed ENSLAVED although they have strong Pagan tendencies which may or may not disturb you.
NAGLFAR has lyrics similar to IMMORTAL and you might enjoy that.
Those are the very few that I can think of off the top of my head. I'm hardly a black metal expert, so I'm sure there are others out there that can give a better more complete list. Again, I say that Black Metal has its name for a reason so don't be surprised if you end up having a very small selection to choose from.
Nathan