Of course "sex" isn't a requirement for a beautiful relationship ! And it would seem your exploration of poly minded people would be a natural place to start. At least in my experience in the poly community, sex is not put up on that pedestal, but only acknowledged as one of the obvious possibilities when people connect deeply. But it's certainly not a requirement.
That being said, it's very common that when two people DO connect deeply, that physical intimacy often becomes a natural expression of that bond, and if that is a fear trigger for you then I'd just advise you to voice that clearly & openly right up front with anyone. Anyone with an open, loving heart would accept that without reservation.