Should I report both ACT and SAT scores?

I currently have a 35 ACT Composite and I’m much better at taking the ACT than the SAT (even the new one). Will it hurt my applications at all if I only report my ACT scores?

SAT Subject Tests are a different story, as I already have good scores on those.

No, ACT and SAT are viewed the same by colleges. Only send your ACT scores if those are higher.