I get the following position pretty often in online bullet as White. It's mate in a few (for instance, 9. Bf4+ Kc5 10. Qd5+ Kb6 11.Qb5#). Needless to say, the setup is dubious.
This looks like a prime candidate for achieving castling with checkmate. Black's king is running, their officers are passive, and many forcing lines exist.
[Title "Silly bullet trap"]
[fen ""]
[StartPly "16"]
1. e4 e5 2. Nf3 Nc6 3. d4 exd4 { C44 Scotch Game } 4. Ng5? h6 5. Nxf7?? Kxf7 6. Bc4+ Ke8?? 7. Qh5+ Ke7 8. Qf7+ Kd6
Several ideas come to mind. For instance, it may be possible to open the d-file, mating by queenside casting. Or maybe the king may somehow be shepherded down to the a1 corner, with a kingside castling.
However, I cannot find concrete ways to do either. Can this be engineered? Sequences wherein checkmate by castling is merely one of several ways Black can choose to be mated are also be acceptable.