Skelf (Alan) has definitely had basses for sale recently which are under £2k. It’s definitely possible to get something beautiful within budget. Just one example: http://www.acguitars.co.uk/project/0282-retrob-5-2/
Re: Sandberg, since you’re not a huge fan of the Fender clone shapes you’ll be pleased to know that their newer “California II” range have redesigned bodies which no longer look like Fenders. They also have a number of completely unique body shapes such as the Classic, Basic and 48.
@xgsjx, where are you based? A trip to BassDirect in Warwick or The Bass Gallery in London will answer a lot of your questions and be a ton of fun too.