I've never had a reason to outright reject ToE.
But there are aspects of the theory that are problematic and/or misunderstood. For example, "survival of the fittest".
It's the nature of science that it is subject to revision and improvement as our understanding of the world improves. So I'm perfectly content to allow the Theory of Evolution (which concerns itself with the process of change in all forms of life over generations) to gradually improve itself over time.
The creation of the Earth itself isn't even a matter of ToE, but rather of Cosmology. ToE doesn't come into play until life emerges.
Additional theory is actually required to explain how life emerged. For example, abiogenesis. And what is abiogenesis? At some point in the past there was no life, and then at some point there was life and somehow it went from the one to the other. And there are a bunch of guesses as to how that happened, but it's not like anybody can verify or falsify the method. There are no naturally occurring examples of abiogenesis that occur today that we know of.
I think one of things people like to say to try and throw people off is they say the creation stories don't explain dinosaurs and then they like to talk about how old dinosaurs are and how your creation account can't possibly be true, etc, etc. But it's not like, for example, the Bible doesn't mention large monsters (*cough* Leviathan *cough*) nor does the Bible account for every animal that lived. Should I decide the platypus doesn't exist just because the platypus is never mentioned in the Bible?
But here are a bunch of things that lived and we should be concerned that the Bible didn't mention them because... dun dun dunnn! They are dead!
So it really comes down to Age of the Earth. This is the rock solid argument. And this is really not an Evolution argument. This is actually a Geological argument.
So I would suggest that if you rejected ToE because of Creation stories, then you are really in the wrong department altogether. It's not Evolution that you have a problem with. It's Geology. Because Geology is what actually tells us all these things took billions of years, whereas some Creationists seem to think the time elapsed since the start of life on Earth is only some thousands of years or whatever. I don't understand the intimate details of how creationists come up with their estimates for the age of the "Earth". It certainly isn't obviously apparent from a casual read of the Bible. You have to really sit down and bean count and say what's a bean and what isn't to get those estimates and make an assumption or two here and there. It's basically using the Bible to do pseudo-science and different people get different answers depending on how they count. And in my opinion if different people sit down to count and consistently get different numbers at the end of it, it's not like I can trust what they did. They aren't God. They're just people. But maybe it works out to 6000 years or so or whatever. And is there anything spiritual about what they are doing? Maybe, but I don't see it.
And there you have it. If you are going to buy what some people think they know about what they think the Bible tells them about how long they think things took instead of Geology, well, that's your choice.
Or you could just accept that the Creation Story is basically true, Geology is basically true, ToE is basically true, Cosmology is basically true, and then work from there. Ask, what's actually important that I'm getting out of this? If it's the Bible, then the answer is: probably not science... probably I'm getting some sort of spiritual understanding... probably I'm cultivating my relationship to the divine... probably I'm using this to understand what it means to be human or to understand my place in this world I'm living in. I'm probably going to meditate on this or pray. I'm not likely to try to use the Bible to determine the rate of acceleration due to gravity. If I see someone else trying to use the Bible to determine the rate of acceleration due to gravity, well, I might get a little bit offended. You really shouldn't treat the Bible that way.