Ouch . . . both sides? That stinks. I've had it on my left side for years, and when it hits, lying on it isn't an option. It kicks up when the weather changes and is especially bad in the cold weather. I do find that anti-inflammatories help (advil, naproxen, etc.). A friend of mine has had cortisone shots into the bursa sacs, but . . . . I won't go that route. Have you tried any medications or stretching exercises?
I had several cortisone injections on either side with shortlived success. and yes, pain medication and anti inflammatories is also prescribed; for exercise I do Tai Chi. I am not so sure about the weather, I live in Spain, it is very hot right now and it flared up a few days ago again. What are the intervals you experience? could diet have any influence?
I do believe that diet can influence the condition -- foods that tend to cause inflammation, I've noticed, can have an effect on my level of discomfort. Spicy foods, alcohol, "junk" food or whenever I have too much salt, it tends to increase the pain level. And believe it or not, changes in air pressure.
I've been encourage to use turmeric, which is supposed to be very good for inflammation, and I've just recently started taking it as a supplement, but I haven't been on it long enough to notice any difference.
As far as intervals, there really isn't any pattern to my pain -- it can hit at any time and be gone just as quickly. Tai Chi is great! I've had success with that.
I hope you find some relief soon . . . I think pain that disrupts sleep is the worst!