Firstly avast doesn't block (it isn't a firewall), it scans and alerts to infection, if that isn't found the site should load as normal. If it doesn't there is something else in the mix, see below.
Have you manually set your browser/s to use the web shield localhost proxy ?
This is required in win9x/ME, if you haven't then the web shield won't be scanning the http content, so wouldn't be involved.
When this happens it is more likely to be conflict, either a firewall or another AV:
What is your firewall ?
Have (or did) you another AV installed in this system, if so what was it and how did you get rid of it ?
Obviously we are unable to test anything not being members we can't log in.
However, avast should effectively act the same with IE as it does with Netscape as it doesn't really know what your browsers is, so you may need to check if you have any security settings in IE6 which could be blocking, either cookies, active scripting, etc.