Yes, there are just mountains of evidence that back up the flatness of the earth ... for those willing to consider it openly. As I said, I've engaged in the "thought experiment" of pretending that I believe that earth is a globe and then am trying to convince a flat earther of it. I can come up with no real arguments, other than hurling things out there to "explain away" the evidence for flat earth, i.e. throwing the word "refraction" out there.
What's most ironic is that all the globe earthers tout "science" but then don't even come close to following the scientific method. You start with a hypothesis, i.e. that the earth is a globe, and then you construct tests that would either validate or invalidate your hypothesis. If you find anything that invalidates the hypothesis, you have to revise the hypothesis. Instead, they all simply accept the truth of the earth's globularity as a starting point and then are seeking for evidence to corroborate / prove / validate it, while ignoring the evidence that goes against it. There's nothing scientific about the approach taken by the globers.