Using a Asymmetrical Chute Downwind?

[bazzer]

I have a new cruising chute on my boat and I was wondering if anyone has used a asymmetrical spinnaker directly downwind, i.e. with a apparent wind between 140 degrees and 180 degrees. Obviously at these wind angles the main is going to blanket the spinnaker, but it looks like I might have a couple of options. The first being to take the main down, which is a pain when sailing directly downwind, the second is to use a pole on the spinnaker and hold it out to windward. Another third idea I have since I have a good Dutchman Boom Brake fitted is to run the main by the lee.
I would love to hear from someone who has actually done any of these options whilst actually sailing.
Thanks