I really don't think that you will find an evergreen vine hardy in zone 6 that small and that obliging. I'd start looking for alternatives e.g. a decorative or solid gate.

Any non evergreen options?

Don't forget that the vine you will put there will also climb onto whatever the gate is attached to making it impossible to open with out breaking it. I grew pole beans on a fence near a gate and they climbed onto the gate and I had to break the vine to open it. You could always attach an artificial vine to the gate.