What is the best continuation for White?

G/10, Columbus Chess Club
Analysis of Coffey, John vs. Bemke, James

8 7 6 5 4 3 2 1 a b c d e f g h -1

(white to move) 1. Nf3 d5 2. d4 Nf6 3. c4 c6 4. e3 e6 5. Nc3 Nbd7 6. Bd3 dxc4 7. Bxc4 b5 8. Bd3 Bb7 9. e4 Be7 10. e5 Nd5 11. Ne4 a6 12. O-O c5 13. dxc5 Nxc5 14. Nxc5 Bxc5 15. Bg5 Qb6 16. Rc1 O-O 17. Bb1 h6 18. Qd3 f5 19. exf6 e.p. Nxf6 20. Bxf6 Rxf6 21. Qh7+ Kf8 22. Ne5 Rxf2 23. Rxc5 Rxf1+ 24. Kxf1 Rd8 25. Qh8+ Ke7 26. Qxg7+ Kd6 27. b4 Bc6 28. Be4 Rc8 29. Ng6 Re8 30. Qd4+ Bd5 31. Rxd5+ Kc7 32. Rd7+ Kc8 33. Qxb6 Kxd7 34. Bc6+ Kd6 35. Bxb5+ Kd5 36. Qc5+ Ke4 37. Qe5#

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Pawn promotion:
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Click here for 28... Bxe4.
Click here for 30... Kc7.