Hi everyone,
I've been having the same problems with my site www.rejsystems.co.uk
I have found a work around for the moment.
USE AT YOUR OWN RISK
The solution that I have found is to use a proxy server.
In Internet Explorer go to tools/internet options/connections/Lan settings tick the box use proxy server
Did a search of UK proxy servers, using Leeds College of Technology at 195.195.7.55 on port 80
This is not an ideal solution but may help people that must update their site and are willing to trust a third party to transfer their information, although that is pretty much how the internet functions.
This proxy server seems to prevent access to sites it believes to malicious so you may find some sites are blocked so you should only use this whilst working on your site. It is also possible that if they start to get a lot of traffic coming through it will degrade performance and they could switch the server off at any time.
I believe that as the logon pages are via SSL (secure https) the passwords to your domains should be secure but cannot be certain which is why I have put the rather large disclaimer at the begining.
Hope this helps and it's good to know I'm not the only one having these problems.