Had to resist the urge to tell you "spend more than 200 bucks and get a 'good' one."
Your best be is not to look for a "brand-name" bass but rather go to a music store or a pawn shop where they have some used ones and mess around with them.
A guitar-geek friend of mine really likes the Squire P bass he has. You might get "just a decent sound" from a squire, that is the pickups maybe good for your needs but overall playability might not be so hot. Expect to get what you pay for. I bought a cheap bass for $50 bucks, it played fine for a while and I didn't feel so bad setting it on fire and smashing it in my back yard when I was done with it.
Roaf