You could use CSS to hide the header on all pages and then other after it to show on the home page. Here is an example

#imagecontainer {
    display: none;
}
body.home #imagecontainer {
    display: block;
}

Would it work to put a widget area in the header area (this-from Juggledad)

1) add the following to 'Configure Header Area' HTML Code:
<?php bfa_widget_area('name=Header widget area'); ?>
2) go view the front page of your site
3) go to dashboard->appearances->widgets you should see your new widget area
4) put the widget you want into it. A text widget with a link to the banner.jpg file maybe.

Then install the plug in Display Widgets. Go to Widgets, go to the widget you have put in the header. Select Show Only on Checked. Then only check the Home page.

A bit convoluted but it will probably work.

That will work fine and allow you to use perhaps another rotator. My suggestion would target the built in image rotator.

Oh yay. That is the missing piece I had not figured out yet. Thank you, Miles