Spash in Thickbox doesn't load external CSS files

Issue Summary

I have a splash page that needs to load its own external stylesheets, for reasons I won't go into here. The page content does appear in the thickbox, but without the necessary styling.

Redirect works fine (terrific!), but I'd like to see if I can use Thickbox - is there a way to get the Thickbox page to load the external stylesheets? (I need to use the conditionals.)

Thanks much!