Russia, which gets an extra piece, is in some ways the most powerful country in Diplomacy. It is also one of the most vulnerable, insofar as it is surrounded by four potentially hostile countries. (Only Germany and Austria-Hungary is in such bad shape in this regard, an important fact for this question.)
The Three Emperors' Alliance between Russia, Germany and Austria was originally started by GERMANY's Bismarck (in real life). But as the strongest of the three, perhaps Russia could be the greatest beneficiary?
The idea is to use the weaker Teutonic powers to knock out the stronger enemies, England and Turkey. Russia gets Norway and Edinburgh in the north, Rumania and two, maybe three Turkish supply centers in the south. And in any event, secures both flanks.
Then Russia might ally with one Teutonic power against the other, or possibly with France and Italy against the two Teutonics. If they were playing a "short" game, where any three countries with a total of 18+ supply centers can declare themselves co-winners, they'd have the game won right there.
How would this compare with more "traditional" strategies, like the "juggernaut" of allying with Turkey?
I've never played Russia "on my own" but once "inherited" a Russian game from someone who had to leave early and had an alliance with Turkey.