Is it possible to file for fiancee visa when both are outside of U.S.?
The K-3 visa would not speed things up. If you marry in Scotland and have resident status in the UK, you could submit form I-130 to the consulate and take advantage of consular processing which is probably the fastest and cheapest way for your spouse to become a permanent resident. The U.S. Consulate in Edinburgh does NOT process visas so you would probably have to work with the embassy in London. Your first step would be to find out if they would accept an I-130 from someone in your status in the UK. As the marriage will take place in the United Kingdom the spouse of the U.S. citizen will require an immigrant visa to travel to the United States to take up indefinite residence. The petition, Form I-130, filed by the U.S. citizen with the office having jurisdiction over his or her place of residence, cannot be filed until the marriage ceremony has taken place. Get into communication with the visa office at the embassy to find out where you will need to file the I-130.
