I can’t imagine that Christian alternative would be any good, since regular “alternative” is such sludge.
It can be spotty, but the genre definitions are sort of nebulous, so I included “alt” just so as not to miss sny that I actually like.
Michael Crowder Band, Passion Worship Band, Matt Redman, Chris Tomlin, ... these guys do a pretty broad variety of stuff ranging from worship to straight-up rockin’, so a particular song might get called “alternative”, but the overall genre of the band would be hard to pin down; if forced, you’d just have to flip a coin.