for international students, it's very difficult to find a huge amount of scholarship in the UK. especially for medicine! I've done a lot of research and many of the UK scholarships I found are for all courses except medicine...so, it's difficult. obviously it's because of the long course length. I feel bad for med students.. but some universities do offer partial scholarships for them.
I think there would be a lot more scholarships to US universities, so if you don't mind taking SATs/ACTs, better go to the US.