Fair enough. However, the days of local stocking shops may have past. They have in my area. I just order stuff online, and it gets to me in a week or so. The above electronics places (and there are others in the UK) have fairly decent catalog descriptions. I don't think it would be that difficult to find a 4.7K pot. If you were to publish the required dimensions, there's more than one of us here that could find something suitable.
Shaft diameter and length, body diameter and length, that sort of thing. That being said, the old fashioned pots are less common these days.
Kind of expensive, but there's:
https://www.mouser.co.uk/ProductDetail/Vishay-Sfernice/PE30L0FL472KAB?qs=Ub2JFBCWywJsx2dSXBb%2B6g==