Reason and logic lead you to only two choices, where one choice immediately begs you to abandon reason and logic and just believe what feels right? I think reason and logic can take you further than that. We can explore a spectrum of ideas without committing immediately.
The point is that you actually cannot explore a spectrum of ideas without committing immediately because you are forced to live and living forces you to commit and make moral decisions every day.
I subscribe to the notion that morals are emotion based propositions and thus aren't quite as grounded in pure logic. As in there is not an objective morality, just things we know to be good and bad that are abstracted away from direct experience. Nothing wrong with that, but as feeling beings, we don't need to hugely ponder the vast spectrum of ideas to determine within ourselves what is "good" and what is "bad". Always worth thinking about second and third and x order effects of a certain moral judgement, and this is where logic comes in to the picture, but definitely trust your intuition in the meantime and don't put yourself into a box. You're welcome to not commit to a concrete worldview until you're comfortable, while still being a decent person.
These problems arise when you ruminate instead of living.