Wow, I mean, I don't really know what to say. I was pretty much in your shoes 5.5 months ago... I delivered my little girl at 23+3, due to an infection no one believed I had. And she didn't make it. The guilt hasn't left me yet, and I still wonder 'would things have been different if a Dr believed I had an infection?'. I was also feeling her move and listening to her heartbeat up until about 2 minutes before she came out... It was beyond hard hearing that and knowing she wasn't going to make it...
But here you are, and it's not over yet. Have you asked them to reverse your bed into a Trendelenberg pisition? They will make your bed so your feet are elevated above your head. It's not comfortable in the least, but it's trying to get gravity to pull your membranes back where they belong naturally. If your membranes fall back without rupturing, perhaps a cerclage will then be an option.
Drink lots of water to stave off infection and to stop your uterus from becoming irritated.
I've heard eating alot of protein has the effect of making your gestational sac stronger and harder to break, which would be beneficial. You might want to get someone to bring you Activia yogurt. I can't guarantee it, but so far eating alot of it daily has helped me stave off infections. Right now, infection is a big danger as you have lost the protection of the cervix in keeping infection out. I take antibiotics everyday to try to stop a reoccurrence of my infection, but taking antibiotics everyday usually leads to a secondary infection, usually yeast. So far, I haven't had one.
Have they got you on antibiotics preventatively?
They need to limit or stop internal exams or scans. Each one they does puts you at a greater risk of rupture or infection.
Is there another Dr there who might do the stitch on you? This one Dr declined, but if you still feel that's your best shot, get a second opinion.
I hope this has given you some ideas. Just hang in there, and keep us updated.