I'm not trying to flame you, and I mean what follows as practical advice, but if you can't play that much, or that well, why are you so worried about tone? Most folks will tell you that the tone comes from your fingers, and I'd agree with that 110%. I'd also say that the best way to get the tone you want is to practice, and work on your technique, and not worry about what bass your favorite bass player plays. If you really want a particular sound, you can work on that down the road. Having Bryan Kienlen's bass isn't going to give you Bryan Kienlen's sound, especially if you can't play a lick.
Honestly - and again, this is just my opinion - I think you might be better served by getting an inexpensive P or a J, spending a few bucks on a decent setup and then learning to play for a few months. After you've got the basics down, and decided that you'll stick with it, you might have a better idea of what you really like or dislike in a bass, and more insight about your preferred tone.