It used to be that many British Universities taught Russian, but so many departments have now closed. Glasgow and Strathclyde eventually combined, I believe. When I was a student, Glasgow had the Department of Slavonic Languages and Literatures plus the Department of Slavic Studies. (The latter dealt with politics - I might have misremembered the precise title.)
The first time I went to the Soviet Union was for a one month Russian course at Kuban' State University - there were more than 70 UK students and and also a similar number of Greek Students.
There was a SovScot Society at one point and they had a linked organisation which organised holidays to Russia - I've forgotten the precise nomenclature. Sputnik Travel used to organise courses for students, but they might also have run the holiday company.
I think it was Thompson's that used to run holidays to Moscow - they used the old Rossiya Hotel.
Regulations were strict at that time: we weren't allowed to travel outside the city where we were staying fo university, unless on an official excursion.
My last trip was a British Council exchange to Leningrad (as it then was) for three months. I can tell you that the plane from Healthrow to Moscow was nearly full of students who were mainly moving onward from Moscow to another destination for three months.
One of the busiest unis for international students was actually Voronezh - a lot of the Glasgow boys used to go there.
Re: social norms.
I recall that one time a British student said "Thank you " after asking for the salt. The Russian who'd just passed it to him said, "Why? What did I do?"