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It seems to me you might have to think outside the box ... Someone has already suggested Scout but there is a place in Lincolnshire called Scotter (meaning tree of the Scots') and Sheila Scotter was a famous Aussie fashionista.
Or you could used Southcott or Sothcott - English surnames, not Scottish, however.
Or a Gaelic name such as Ailsa or Fiona or Morag or Sorcha and use Scottie as the nn -- or or Alexandra or Flora or Lilias which are widely associated with Scotland.