Marmite car, depends if you like them or not but bargain buys.
https://www.ebay.co.uk/itm/Volvo-C30-T5-Sport-SE/292488733375?hash=item4419afe2bf:g:Ek4AAOSwhWRarpjB
Same engine as Focus ST/RS so lots of tuning potential/nice sound, good chassis, lots a kit for the money.
Failing that, I don't think you'll do much better than a Clio 182 or even a 197 if you can get one within that price. The 197 has one of the best hot hatch chassis out there for chucking around, they're so much fun!
https://www.ebay.co.uk/itm/2007-REN...341088?hash=item362e60f8e0:g:XW0AAOSwGvBagyl7
BMW 330CI? Though like the MX-5's they'll all be rust buckets by now...
Could haggle any of the above down to around £3k probably...
EDIT - Just seen the 'fixed with a hammer' part, the T5 is a good engine so won't need much, lots of electronics in them though. The Clio will be awful to repair, my girlfriend has the 1.4 version (mk3) and you can just about change a light bulb without dropping a bumper. Would hate to do anything else on it!