One thing to keep in mind is that a Young Earth is only a part of the picture for some churches. Beyond being against evolution itself, some churches teach that the world must be about 6,000 years old anyway, but no older. All fundamentalist and many non-denominational Evangelical churches believe in dispensationalism. They believe in a fairly detailed timeline for the world, from beginning to end. Their hope for Christ ushering in a new world depends on this timeline being true. The churches where the “Left Behind” novels and talk of the “Rapture” are popular I doubt will listen to any scenario where the earth is old, even if issues about Adam and Eve have been addressed.
There are churches that might be more receptive to GAE if they don’t have a history of Dispensationalism that would be an additional motivation to stay Young Earth - I think conservative Reformed churches and conservative Lutheran churches, and I’m sure others. But if the pastor talks a lot about timelines and “Bible prophecy,” there will probably be objection to the earth being old.