What is the best reply to Qe5+/Qe6+ in Scandinavian? [FEN ""]
1.e4 d5 2.exd5 Qxd5 3.Nc3 Qe5+ ( 3... Qe6+ )


What is the best reply to this ? I know that it isn't very good move for black, but I met it few times. I thought that Be2 is the best because other moves block bishop and it is bad later in the game. Am I right ?
Keeping the queen in the center vulnerable to attack cannot be Black's best option. Be2 is the obvious move for reasons you gave. Black can't exploit it, and while e2 is not the best of squares for the bishop, it's still development.

David Letterman played the 3...Qe6+ line against Kasparov in a televised game. Kasparov played 4. Be2, and after 4...Nc6 5. d4 Qg6 5. Nf3 Qxg2 6. Rg1 Qh3 he had a massive lead in development. This is the line I'd go for against Qe6.

3...Qe5+ is just as bad since a future Nf3 will gain another tempo. 3...Qe5+ 4. Be2 c6 (or where is black going to put the queen after Nf3?) 5. Nf3 Qc7 and white again has a massive lead in development.