Here are some new basses in your price range to consider that have better construction, playability and sound than Epiphone or Squier-
Yamaha BB414 - I love these basses. Great p-bass tone, great action, vintage styling. I think they are every bit as nice as American p-basses for significantly less money.
Peavey Grind - These are cool. They play a lot like Ibanez's slim profile soundgears, have nice appointments like neck-through construction and expensive tonwoods, and great tone.
Ibanez SRX300 - These aren't my favoirte, because I think they end up being too trbly in sound, and the truss rods are notorious for stripping out if you're not careful. That said, they are very comfortable basses to play, and there are many bassplayers who like the natural added attack these basses have.
Fender FSR series - Just in case you have to have a Fender. No frills meat and potatoes bass. They aren't the prettiest of the bunch, but for a $25 pickguard replacement, that can be changed.
Cort Curbow - Great active tone, very comfortable neck, high-end features. The look is a matter of personal taste, however.
There are lots of others I'm not thinking of right now.