I should also have mentioned that I would like the banner rotation to keep moving. When the visitor clicks on a link, the banner rotation starts over. It would be nice if the "animation" kept rotating, regardless of the page the user visits.Blockquote
Well, in that case I would strongly recommend not doing that. The only real way of achieving that is to have the actual website content in the iframe, which means that you suddenly have lots of negative sides to the site: not being able to bookmark urls easily due to the address bar not changing; accessibility concerns; etc
I think you'll find that most people won't care that it reloads again. Once a visitor lands on your website, they'll marvel at the wonderful banner immediately, and then will continue to ignore it while they browse your site - until an image they haven't seen appears and distracts them away from your content.
Keep the rotation random enough, and with enough images, and people will stop to look at it from whatever page they're on.