Direct tracking
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Try the old chestnut of "for weather avoidance". work out what kind of a turn (or miles off nominal track) is required to get you direct to your desired point. Then call up the controller, ask for 15 degrees left or right, or 10 miles right or left of track to avoid weather... he knows it's twaddle, you know it's twaddle, everyone is legal and happy. You get direct, he gets to give it we all live happily ever after, management can go and tuck their heads up their fundament.
Bad idea divingduck. If this becomes more widespread than it already is controllers will start to look askance at requests for weather avoidance. You suggest game playing when there needs to be clarification from management.
The only workable instruction re: direct tracking should be that it will not be done without the concurrance of the receiving sector, full stop.