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I checked on Amazon - £350 - you can get much better basses for that money. If you buy used you can get a lot for your cash.

The Yamaha loving contingent of this forum will be screaming BB numbers at you right now.

Musicman and Sire basses are also in your budget and are well regarded.

I'd take a look in the classifieds here.

You're sure you need a 5 string, or would a 4 string tuned BEAD work?  Many immediately think they want/need a 5 just because they want the low string, rather than thinking about how little they use the G and instead drop tune.