2... Bc5 is very good alternative
thing GM Marin wrote good book regarding 1.e4 e5 opennings, and much analysed this continuation.
It gives black very good games, and no fear if white will go c2-c3, d2-d4 since this white pawn centre is not so powerful it seems to be
Note: 6...Nf6 instead of 5...Nf6 is because white may play 5.Nc3 Qd6.