Eh, your analogy isn't apt. The problem in physics is that the space of possible theories has been searched so exhaustively that what these physicists are doing is just about the only choice.
To make your analogy close to physics -- imagine you found a unicorn horn and can tell from the biological makeup that it is indeed a horn grown from some sort of horse-like mammal. If you searched 99.9999% of the earth for animals that might have grown that horn and found nothing then the best thing to do would be to continue looking within that 0.00001%.
We can't figure out what comes after the standard model of particle physics. But we know it's wrong. e.g. we know black holes exist and something has to happen within them. But we don't have a theory that can predict what that is. e.g. we found a unicorn horn. So we have to desperately search for it.
Hossenfelder is right that it's shitty to have to keep pushing the energy boundaries in which we hope we'll see some interesting behavior. But there's literally nothing else to do. We've searched 99.99999% of earth and there's no unicorn. Do we start denying the existence of the unicorn horn that we're holding?