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OK I had a eBay search out of curiosity and I agree it's quite challenging to find small bikes!
Did you spot the Planet X in 50cm (c-t) for £350?
https://www.ebay.co.uk/itm/154465958660Apparently used by a 160cm rider, so 3-5cm taller than you. But with plenty of seatpost still showing. Though you'd probably struggle to find any pros riding a Planet X, the frame and parts on this bike are way better than the Aventon as they are at least recognisable brands like Cinelli, Ambrosio, etc. Personally I'd still hold out for something steel/beautiful, depending on how urgently I needed a bike.
I'm assuming you're looking for a track bike only? Or also considering road bikes?
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See also on here:
- This S/XS Ribble road bike in Reynolds 525 steel with Tiagra parts for £450.
- An ex velodrome 45cm Dolan Pre Cursa at a bargainous £130. Geometry chart here. I have seen people fit front brakes to Pre Cursas but you'd need to drill the fork.
- This S/XS Ribble road bike in Reynolds 525 steel with Tiagra parts for £450.
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There's also this complete dolan pre cursa 50cm for £100 which is a mad bargain
https://www.gumtree.com/p/bicycles/dolan-fixed-wheel-track-bike-/1412284542
That Aventon on eBay, as @The.Gren has pointed out, is not particularly exciting and nor will it be particularly zippy. It will work as a bike but you can do far better for £450...
I'd suggest putting up a detailed ad on the Wanted section of LFGSS Classifieds. Include the frame size you're after and your height for good measure. Specify vintage or modern, or just see what is offered.