Some Russian ladies will be more inclined to seek a foreign husband for the simple reason of being less financially secure.
This does not mean that you can just walk into a Russian marriage - the Russian women are choosy when it comes to men.
Just keep in mind that their motivation for this may not be as pure as you think and you may find yourself wifeless once she has got citizenship/money through marrying you.
Russia on the other hand is very expensive and not very safe.
The Russian Mafia runs the cities and bribery and corruption are abundant.
Airline tickets are also more expensive because of the greater distance to travel for meeting the Russian lady of your choice.
The terms "Russian mail order brides" and "Russian mail order wives", widely used by Americans, can be quite misleading as it almost creates the impression that the ladies would agree to marry just about anybody, which is miles far from the truth.
Both Bulgarian ladies and Russian brides are amazingly beautiful women but you will find that a greater percentage of Russian girls will have professional or better quality photos.