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I would see about getting a different pair of headphones.

That's unlikely to happen. I do have another pair of headphones that are full back (Sennheiser's HD-280), which are nearly as comfortable, but I don't like using them because they filter out my environment so well. I don't mind the environment noise -- in fact, I really like being able to hear what's going on around me, especially when people think I can't, because I have my headphones on -- it's just my cube-mate's annoying noises I mind.

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Full enclosure with noise cancelling

I hate noise cancelling. It replaces annoying background noise with annoying mushiness. I'd rather have the background noise. Even on airplanes. I actually take the full-back headphones with me when travelling, since they reduce background noise by something like -30dB, making noise cancellation unnecessary.