The evidence for string theory is that it is the only non-renormalizable theory gravity. It is the only quantum field theory that predicts the existence of gravity. String theory predicts the existence of gravity, which is not predicted by any other theory of particle physics. Not only that, but it includes all four forces. General relativity includes gravity but nothing else. String theory is internally mathematically consistent, which is quite an achievement. The way anomalies cancel, it makes you feel like it's to much to be a coincidence. It almost eerily predicts black hole entropy. You have string phenomenology, where they can almost reproduce the Standard Model. You have string cosmology. Some people say string theory accurately predicted the Higgs mass. String theory is currently consistent with all observational data. Of course, string theory is still a work in progress. We do not yet have a final theory. However, the universe would really have to be conspiring against us for for string theory to work as well as it does, and not at least be a step in the right direction. You would not have this many physicists continuing to expend this amount of effort perusing string theory if it did not look promising.