Going first with basses I still own..
I own and can HIGHLY recommend a Stingray 5 (you choose the pickup config you prefer) and a G&L L-2500. Both give you a big beefy sound, have lots of tonal options, and I also like the narrower string spacing at the bridge (i think both are 17.5mm). I love both but my Stingray is clearly my #1. However, to be in your price range, you'd have to buy used. I bought both of those basses used and they look like I bought them brand new today.
Another bass that I owned for a few years that I can also highly recommend the Lakland 55-02. That's hard to beat in that price range for a new bass. The only reason I sold it is that the 19mm spacing and the 35" scale didn't feel right to me. I gave is a few years but eventually sold it (to buy my first Stingray!

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I also owned and can highly recommend a Warwick. I owned an FNA Jazzman, which was based on the Corvette, but with a specific pickup configuration. It sounded fantastic. In fact, it was probably my favorite sounding bass of all I've owned. Unfortunately that also didn't fit me well ergonomically and I eventually sold it to a friend. He regularly tells me what a dope I was for selling and, in some ways, he's right. He loves it. You'd need to buy used if you want a German-made bass, but the couple of Rockbass models I played in a store felt and sounded quite good as well and are often well within your price range.
I've played a few Bongos in stores and I would love to own one someday to see if it could displace any of my current basses (I've been following the "one in, one out" rule for quite a while). They felt great great to me, sound fantastic, and had as big and beefy a sound as my Stingray and L-2500. But, as with the Stingray and L-2500, you'd have to buy used.
I've never played or owned a Spector, but they're one of those basses that I've been curious about from all I've seen about them here on TB.
I also think any of those could do quite well in a hard rock or metal situation.