Unless you are charging the car up at your business premises (and probably you'd only be doing that if you left it overnight, in which case you could probably argue no BIK) then you won't be able to claim the electricity costs.
There is no HMRC approved method for reimbursing employee electric car charging.
Personally, I'm not keen on paying for my company's expenses, you might argue that in terms of cash in pocket I would still be better off, but its the principle in my case.
Plus, I regularly do long journeys, not so many short ones - so the oil burner makes more sense to me.