Traditionally, a Belfast sink has a weir overflow, a Butler sink has no overflow. But these days both would normally have an overflow and the terms are effectively interchangeable. I've never had to fit a new waste to one but I think the only distinguishing feature is that the top flange is normally larger than normal (c85mm); the body (slotted) would be standard and have usual 1.5" thread. I wouldn't expect such a waste to be that hard to find locally; this from PlumbCenter, in stock at Hemel, for example: http://www.plumbcenter.co.uk/product/mcalpine-belfast-sink-waste-11-2-x-85mm/?gclid=CLnZ9OHO18oCFScFwwodXSgCDg which appears to be slotted (see below) - but maybe you tried another branch nearer you which had none.
I guess if you did turn up at the Harpenden merchant and simply asked for the waste by description, you would likely find that it was offered at a trade price of less than £13.50.
Or there is this: http://www.ebay.co.uk/itm/KITCHEN-SINK-STAINLESS-STEEL-BELFAST-FARMHOUSE-60MM-BSW-STAINER-WASTE-/311279098580#shpCntId
According to this: http://www.mcalpineplumbing.com/waste-outlet-fittings/sink/sink-wastes?cat=66&flange_size=16&id=66&size=165 McAlpine does 5 slotted Belfast wastes which should do you, and ought to be available from most merchants.
This is a good price - but shipping will kill it I think: https://www.bellabathrooms.co.uk/mcalpine-bsw6cp2h-1-centre-pin-belfast-sink-waste.html?gclid=CMSlkKLS18oCFasEwwodCr0HKQ
I'm sure I have such a waste lurking in my stores, but that's not much help to you right now. Good luck anyway!