I never, ever, never, ever, touch a thick neck. Always thin Jazz necks (1.5" at the nut too).
Until... I bought a bass on-line that had the fat, fat, fat and wide (1.75" at the nut). I was so disappointed when I received it that I was just going to flip it asap.
I played it for a week at rehearsals and at a gig. I'm a small guy and the neck fills my palm and it is wonderfully comfortable.
Long story short... it takes all kinds and as for me, I sold my other basses and replaced them with extra fat Precision Bass type necks.
Sounds like the G&L Trib L2k series might be right up your alley.
