All of white's pawns are pinned. White's King is not in immediate threat of check, but is in a tight spot; the queen too, so white is in a defensive game here. While my first instinct here, being a gentleman, would be to protect the queen, I'd have to instead go with an unconventional move.
I'd have the foremost free pawn advance to d7. He'll either be taken, or not, doesn't matter. Then rook/tower to c8. Again, he may be sacrificed, doesn't matter. The next move will either have a white rook/tower or a pawn-turned-Queen, or perhaps the Queen herself sitting on the back row--victorious!
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