I have narrowed it down to a Deluxe Jazz Bass V or a Stingray HH 5 String. I'm a guitarist, so I'm not really used to really wide necks. I'll be using the bass strictly for recording, I won't be using it for live use. I love the tone of the Stingray, but I'm concerned about the neck vs the J bass 5 neck. I record music in the style of Alter Bridge. Lots of drop and alternate tunings. What would you recommend?