If you have reserves on both exchanges, speed is not that important. You can transfer funds from BTC-e to MtGox with 0% fee via AurumXChange. But why would you do it?

Normally bitcoins are cheaper at BTC-e, so you want to move USD in opposite direction.

Unfortunately AurumXChange doesn't always allow to transfer funds from MtGox to Btc-e (and it will be impossible to withdraw with MtGox code soon), that's why I recommend OKPay here. OKPay also offers both plastic and virtual debit cards, that could be convenient for international MtGox users (who can't use Dwolla to withdraw funds).