Used Ibanez SR(405 seems to be the "highest" model for your $$). Which is what I recommend.
Or,
Used Ibanez
SRX505 (although I haven't played the SRX personally, they also seem to fit your criteria).
I noticed the bassist for Bizkit played Ibanez BTB 5s at some point, but these could be more $$. Again, look for a used deal.
He also used Warwick Streamer, which is out of your range, However, the "Warwick Rockbass" streamer LX5 is cheaper, but still a bit higher than you want to go, I saw
ONLY 1, [that was close] on eBay right now for $380 US, but even that
ONE is just above your limit).
He also apparently used a Jazz 5 according to internet lore, (so a Squier Jazz 5 is possible, and common) but I don't get the "metal vibe" from a Jazz, regardless of how many strings are on it. Plus, I don't like the string spacing on fender type 5s. (YMMV, of course, cuz it's for you, not me).
Keep us posted though.
T$