Track clicks on links to the Redirect Pages as @harinder.singh suggested. This makes the most sense as it works the same as document link clicks and would also work if the destination URL was an external one.
Use the redirect delay feature of the Redirect Page, which uses an interim page and redirects with JavaScript (similar to the old pattern of “Redirecting you here after 5 seconds”). I haven’t confirmed it, but you might be able to add the tracking code to that page. I wouldn’t recommend adding the entire site design and paint layout to it though, as it would just delay things further for the user.
If the second option doesn’t allow you to apply a design, it is possible to nest a Redirect Page into a Standard Page, but then things could get really messy.
Overall, I’d recommend the first option. The second option is fine if you somehow need the Redirect Pages indexed by Funnelback (you could add external metadata for them).