Just want to say that I didn't even know that I had a problem with small spaces until my first MRI. I think it might have felt worse for me cause I'm a kinda big girl (5'8", 190lbs) so I probably felt even more closed in if you know what I mean. I panicked BIG time and they had to get me out. But they rescheduled with a sedative and I asked for a wash cloth to cover my eyes. I've had several since and as long as they let me put something over my eyes I'm o.k. The thing with the first one was even though I kept telling myself not to open my eyes, they popped open anyway and the closeness of the machine to my face made me feel like I couldn't breathe. Good luck with yours and I hope it all turns out well
You can ask to see if there is an open MRI in the area. I also suffer from fear of small places. I found that they can give you a small does of valium and that will do the trick.