The bass I made my piccolo bass is my 2008 Squier Affinity Jazz Bass. I was not playing this bass very much as I don't like Jazz Bass tones. But it's thriving as a piccolo bass! The Jazz bass pickups, especially the bridge pickup, can sound very creamy almost like a 7ender Stratocaster guitar in the highest register.This is the correct answer! All the lead and rhythm "guitar" parts on my latest album are in fact piccolo bass. Why? Because I'm terrible at regular guitar.
All I did was change my strings to the D'Addario piccolo bass strings mentioned earlier in this thread and get a proper setup. I also changed out the original preamp because it was dying and I don't like the typical Jazz Bass VVT configuration.