Hello Claudia
I am sorry to hear about your ongoing pain.
I would agree that if someone has a hypermobile sacroiliac joint, the priority should be to build stability there. Muscular exercises and even restraining belts can help. However, sciatica is usually not a symptom of SIJ instability. If you are suffering sciatica, you may want to see your health care provider to find out what might be causing it. (In this
article, I describe a couple of the most common causes and some suggestions for treatments, with the caveat that I am not a doctor or a therapist.) Please try to determine the cause of your sciatica and then work on eliminating that cause.
SIJ instability can have somewhat similar symptoms as sciatica, but most commonly the symptoms of SIJ pathology are found more in the lower back, buttocks and pelvic regions and less in the legs (although referred pain can be felt the legs and feet).
Stretching of the hips is not recommended for SIJ hypermobility, but the other parts of your body may still benefit from stretching. You may still want to incorporate some yoga stretches (yin or yang) for these other areas while avoiding any work that may destabilize the SIJ. Symmetric postures like Sphinx and Seal may be okay, as may seated poses like Reclining Butterfly or seated Butterfly without any spinal flexion. Once you know the cause of your pain, you may be able to plan some flows that work for you.
Good luck
Bernie