Both my Jazz basses are a bit noisy even with both pickups full on but it's hardly noticeable when playing. When I had an SR300E I had even less hum in single coil then the Jazzes.
I think you need to bring it in and have a professional look at it. However if possible you could try your bass on an amp you know is producing little to no noise. It's entirely possible that it's the Ibanez having a ground issue but it's hard to diagnose over the internet.
How can I test if my bass has a ground issue ? Nothing change when I touch the strings or not...