Wrong side of the hill. I'm in Ilkley, Yorkshire. Looks like a good shop though.
If I'd realised you were only in Ilkley...Have you tried Leeds Market? There are (or were pre-lockdown) quite a few fabric stalls there. Wednesday used to be the good day for cloth.
Skipton has the Fent Shop which has all sorts of furnishing fabrics, but not sure that they would have anything like neoprene.
The Fent Shop was just behind Boyes.
On the plus side Skipton Art Shop (near Spoons) used to have a good selection of brushes, often including bargain packs.
Some branches of Boyes have a remnant department, but remnant departments are always a bit of a lucky dip.
Bradford has a few cloth suppliers but most of the ones we know are mostly cotton, wool or silk.