You might get a Jim Deacon shortie precision for £150. The construction of them is great but they do really need a few upgrades. I have two of them and put in a good pickup and loom (the stock pots were really on/off without gradient) and as they are neck-divey I put a set of Hipshot ultralite tuners on. So if you can find one of them and some luck with parts in the classifieds and you'd have a great little bass.
One has rounds with an EMG P-X pickup and the other has an Aguilar AG-4P pickup and flats. They sound like great P basses. Just 30 inch. Slim nut with some nice chunk front to back and reasonably narrow spacing at the bridge too. Super easy to play.
I'll quite often pick them before my Lionel, they are great with the upgrades.