Russian name

[kubiq.livejournal.com]

I'd like to pick a Russian male name that would sound good in English and woudn't be too hard to pronounce. I did not want a name that is too common in Russia and I don't want to get just an English equivalent.
The name I like is Veniamin, the short version is Venya (Venia). It is a Russian version of Benjamin- the name I like, but find it too common.
I'd like to hear opinions of native English speakers- would that name sound too odd or unpleasant to an English ear? :-)