I'm looking to get a versatile guitar that's good for both rock and jazz. However, I don't really like playing on a tune-o-matic or a Floyd. I've narrowed it down to either a JPM, an Axis Super Sport with humbuckers and a fixed bridge, or a Silhouette. I'd be playing jazz at school through a JC120, so that would help getting the jazz tone out of it. Any suggestions?