In that case you you do have a Federal Presidential Election.
It would make no difference if you had a situation whereby The President of the United States was chosen by the Governor of every state. All that is required is that the Governors get together and cast their vote. Once this is done then you have just had a Federal Election.
This would have course be a non-accessible election as far as the public is concerned, but it is still a Federal Election for a President. It is Federal because every state has one representative to vote for a National President.
The same argument applies to the Electoral College delegates. Once the delegates get together and vote there has been a Federal Election for the President.
What I am saying is that question of suffrage, directness and indirectness of the electoral process is irrelevant to the question as to whether a voting process is actually National. You can have a National election for a President without considering directness, indirectness and universal suffrage.
Tut