As true as that is, I don't think there is a situation where the "main bulk" of the country is not in the EU, but a constituent nation is. In the examples I'm aware of (France, Denmark, Netherlands), the overseas territories are not in the EU. But I don't think there's any country where the capital city is not in the EU, but an overseas territory is. So it would be a different scenario.
In reality, I think that given the political will of the SNP, the political opinion of the Scottish people (59% support independence in a poll released today - a new high), the abhorrent rhetoric going from many corners in England, and the unpalatable masquerade that we'll be subjected to over the next few years, I would argue that independence is a much more likely outcome for Scotland than remaining in the EU as part of the UK. As I've alluded to, I would be surprised if that would not include adoption of the €uro. Joining Schengen may well depend on the situation in Ireland. To be honest, I'd be open to both now.