"If I move my bass line up an octave..."

Maybe I'm misunderstanding what you said, but if you're working with a bass player, why would you be playing a bass line with your left hand? Virtually every pianist I've ever played with (when I'm playing bass) used the left hand for comping and the right hand for melody.

On the other hand, if you're playing a solo piano gig (or otherwise playing without a bass picker), a left-hand bass line would be appropriate.

Jon