If your opponent cannot do anything active, then don't rush the position; instead you should let him sit there, suffer, and beg you for a draw.
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[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown437"] [Result "1-0"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "4Q3/3n4/4p1pk/p2pP3/q1pP2p1/2P3P1/5PK1/8 w - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1. Qh8+ Kg5 2. Qh4+ Kf5 3. Qh6 g5 4. Qh7# 1-0