What I did there is totally ignore what you asked for except for the "4 doors for ~5k" part, so apologies! Just hard to ignore these

https://cars.donedeal.ie/cars-for-sale/bmw-330i/9570745

https://cars.donedeal.ie/cars-for-sale/cheap-bmw-330i/9521977

https://cars.donedeal.ie/cars-for-sale/bmw-330i-immaculate-fully-loaded/9344532