| I played a MIA Fender P/J as my #1 from 1999 until this year. I bought a Spector Euro 4LX and it became my #1 in about twenty minutes. Fat, growly P/J tone with a versatile eq and neck-through construction. You could easily find one used within your budget.
All the basses you're considering are good. The best Jazz I've played was a MIM Classic 60's, so don't worry about country of origin, but does that individual instrument sound and feel right. Can't go wrong with a Stingray, either, if you dig the humbucker sound.
Have you given all the contenders a demo?
__________________ "I don't know karate, but I know ka-razor" - James Brown, The Payback |