I will say all of science is based on faith- the faith that the human mind can perceive the universe as it truly is, using rational thought and experimental data collection. For some reason this really bothers some scientists and they like to treat science as an unquestionable objective truth, but realistically, we can't exclude any number of hypotheses, but merely state them as improbable based on our understanding.
We can certainly say that the observations look like they may have progressed at the rate we expect for the past 13 billion years, but that does nothing to exclude the possibility that around 6,000 years ago some actor we do not understand took 1 week to craft everything we observe now to be precisely how it is.
Reading your final paragraph, I believe we are more aligned than I previously thought. :)
That said, it is very rare that I hear someone describing themselves as Christian who denies the general 7 day creation story. I happen to personally believe it was seven consecutive days^, but I've heard arguments it could have been seven days with an unknown gap in-between each pair.
^ "day" being the most morally-understandable way of describing the intervals at which the creation occurred. Obviously there was no sun or even light at first, so the concept of a day itself is shaky, and I make no claims as to how many cesium-133 transitions may have occurred in that period, or how far light might have travelled in one of them once it was created, or the magnitude of the various fundamental forces' impact on matter in that period, or really anything related to our understanding of how the dynamics we currently observe may have behaved in those intervals.
But how much of the world's resources have been dominated by folks placing their faith in Eru Ilúvatar?
And I'm sure you're aware Tolkien was a devout Catholic, and described his works as fundamentally Catholic?
(Funnily, physics have come to acknowledge the same, but they call it dark matter and say it’s all very scientific, whatever it is. But this is unknown enough to be not worth much discussion.)
Regarding the evolution we see around us all the time, I and many creationists besides me have full confidence in the idea that micro-evolution does occur. That there is a stochastic gradient decent process that hones in on time-varying local maxima over generations cannot really be denied. But that provides absolutely no answer to the questions of abiogenesis and speciation en-masse.