millions of christians manage to live with the tension between their faith-based beliefs and an acceptance of the facts of science.
People are able to hold two contradictory ideas in their head at the same time. We were JW's so we know this. It does cause cognitive dissonance though.
The way i dealt with evolution as a JW was to not think about evolution, thereby reducing the dissonance. I knew evolution was something science accepted and it was at odds with my belief so that meant I had to not be too curious about it, not place much value on it. This is normal for JW's and its quite rare for a JW to really have any scientific curiosity. When a David Attenborough nature documentary was shown, I would mentally filter out the frequent mentions of evolution. It was necessary and i did it subconsciously.
As you say, there are Christians who do manage to believe in evolution but I think either they must have to make some substantial compromises to their beliefs to make it hold together in their head, are willfully obtuse or ignorant about it, or they don't think too hard about evolution or science in general.
I don't quite understand how it is possible to value both Science and Christianity highly because it is such a compromised position. How is it possible to truly value Science, the scientific method and believe in evolution while also base ones central core belief on a bronze/iron age book full of supernatural stories which has no evidence whatsoever and clashes with a lot of scientific evidence that exists?
If one values the scientific method one will take an evidential approach to the world, recognise the cognitive biases and logical fallacies that humans are victim to and try to eliminate these in ones thinking. By recognising and seeking to eliminate these biases and logical fallacies, it follows that belief systems for which there is no evidence will not be valued.
But I know you weren't talking about value for the scientific method, just about Christians accepting evolution, so i have gone away from your point somewhat.