I'm a round-earther, so I can't prove that the Earth is flat, but I'll provide some of my arguments as well as validations as you requested.
Firstly, aside from Eratosthene's experiment, the Earth can be proven round by watching ships disappear over the curvature of the Earth. A flat-earther might refute this observation as being the result of perspective, (as things get further away, they start looking smaller). I would then argue that that theory doesn't make sense, because the ship's hull disappears first, then, incrementally, so do the sails, from bottom to top. It's clearly going downwards over an incremental drop-off, also known as a curve.
Secondly, the Earth can be proven round by the fact that one can see further away the higher they climb a tall structure. I would argue against the flat-earth theory by pointing out the fact that if the Earth were flat, then you should be able to see the same exact distance regardless of how high you climb. If that were true, then if you climbed the tallest building in New York City, equipped with a powerful telescope, then you should be able to see the Eiffel Tower in Paris. This of course, is not the case, lending further evidence to the concept of a round-earth.
Thirdly, one can clearly see the shadow of the Earth against the moon's surface. If Earth was simply a flat circle, then the only way that shadow would be possible is if the flat-earth model was vertical; if this were the case, then, seeing as the flat-earther's explanation for gravity is that the flat-earth is moving upwards in space really fast, everything would slide off the earth, unless of course the flat-earthers revised their theory to say that the flat earth is indeed vertical, and either headed straight towards the moon at a high velocity in order to hold us all to the surface, or, moving quickly away from the moon, depending on which side of the circle they say we're on. Of course, if this was the case, not only would we be able to see the shadow of Earth on the moon getting bigger or smaller, but we would also all be dead by now. The only other logical explanation for Earth's shadow against the moon, remaining consistent in shape and cyclic patterns, is that the Earth is round, not flat.
Hope this helps.