The non-Schengen countries have been covered above. The question is where do you want to go? November and December are not generally the best times for holidaying in Europe, as these are some of the colder, wetter months and daylight hours are short. Gardens won't have much colour left and many houses and gardens will be closed for the winter. Central Europe will be cold and may have snow inland.
The warmest nearby place will be Morocco, if you can put up with being constantly pestered in Marrakech etc. Many Europeans are avoiding Morocco and Turkey due to the heightened security situation.
If you are in Scotland, why not spend time in the rest of the UK or Ireland?
Alternatively, to get some winter sun, you could head further south such as The Gambia for a few weeks, which is what many Europeans would do if avoiding Schengen or the Caribbean.