An arranged marriage will usually be accepted for immigration purposes as long as it is:
1. Bona fide marriage (in good faith) - no intent to defraud immigration;and
2. The marriage is not against public policy - for example bigamy situation (more than one spouse);
There are also few other factors and issues to be taken into consideration. Speaking to an immigration attorney will make things easier.
As for the fiancee visa, without meeting her in the past two years, it might be hard to get a K1 visa. And eventually you will need to get there to get married. Proxy marriage are not really accepted.
You might want to read the article on our website "Love Marriage and the Green Card!" See attached, it will have most of your answers.