The best replacement for scots is irish.

The best alternatives to scots are rated as following:
★★★★★  irish
★★★★  scottish
★★★★  scotch
★★  bloody mary
★★  cranbrook
★★  romans
★  scots
★  scotts
★  elizabeth
  brits
  queen elizabeth
  newington
  lowland scots
  highland scots
  queen mary
  elizabeth i

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Speaking about scots, one probably shouldn't forget about shotts.

Other search terms related to scots and their ratings are:
★★★★★ shotts
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Google Trends

Scale is based on the average worldwide traffic of scots in all years. Click on graph for more.
scots
irish
scottish