I have been playin the Schotch for quite a while, my main problem with it is ,that you dont always have a save hide out for your king , like in for instance in the ruy lopez.
I play e5 with black as well and return to the schotch with ...Bc5, felling very confident,
About the queen h4 comment: It does win a pawn but white gets massive compensation because he can force black in to givin up his castling rights. The main line runs: 1.e4 e5 2. Nf3 Nc6 3. d4 exd4
4. Nxd4 Qh4?! 5. Nc3! Bb4 6. Be2 Qxe4 7. Ndb5! Bxc3+ 8.bxc3! Kd8
with obvious compensation for the pawn (Smeets-Pliester 2003 Dutch championship).