To do this you would need to import your car into Russia. This is a bureaucratic nightmare and will cost many moneys.
If you sell or donate your car in any country without importing it there will be consequences further down the line, this could include getting stopped on the border or airport. You also risk paying fines (in the several thousand $ region), being banned from that country or even getting arrested. A deportation makes any future visa applications much more complicated so a moment of weakness when you take a lazy way out of a fixable problem, could affect your travel plans for decades.
What's more, the person who ends up driving around in your illegal car could face legal troubles too. It's unlikely that the locals are aware of their own countries laws, even if they seem grateful. We've known of border Guards losing their jobs after helping stranded Ralliers 'sell' cars.
An illegal 'donation' is well-intentioned, but ultimately crap for all parties.