If you have already discussed the problem with your Hoster, after moving files as requested, and they still cannot help then moving to another Hoster should not be that big of a problem. Not sure who told you it takes 5-8 days to transfer a Domain name but that's not quite right. After changing Nameservers it takes about 20 minutes for a .com .net .org to update and within 24-48 hrs most everyone is directed to the new Hosting server.