dang, you gave away the answer Andy ! 
White to play and...draw?
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Tip #1, do not make puzzle in the middle of making dinner !
That's a nice position Andy. I like the double stalemate defence.
This position came into my head while thinking of some possibilities arising from another ending I had. I plugged it into Nalimov and was astonished to discover that there is only 1 winning move here. Yes, 1 Qe4+ is a mate in 3...but surely 1 Qg8+ would win as well?...