bhonda - 7:48 am on May 17, 2013 (gmt 0)
I don't know if you've tried this, but in situations like this I would insist on speaking to someone on the phone. I don't know if that's at all possible, but I would try.
Failing that (or, via that route), I would work up the chain of command - leave the support people alone, head for management. If that doesn't work, go straight to the top. Find the owner, communicate with them - call them, email them, write a letter. See what happens.
I would agree with phranque though, move your hosting first. If it came to it, just cut your losses and leave your old hosting hanging. Then try to salvage your domain names.