IIS7 HttpModule and ISAPI Filter execution order

I have a site using ISAPI Rewrite as well as a custom HttpModule that both do Url redirects and rewrites.

In IIS 6, everything worked fine: The ISAPI Rewrite filter would run first, followed by the HttpModule. In IIS 7 (Integrated mode) the order is now the reverse, which poses a problem.

My problem, specifically, is that the HttpModule has a condition where it will issue a Url rewrite using context.RewritePath. It will explicitly add "index.aspx" to the path if no document was provided, so a request to /test/ gets rewritten to /test/index.aspx.

At some point after the path is rewritten, the ISAPI Rewrite filter executes. We've got a rule that does the opposite of the module: a request to /test/index.aspx gets 301-redirected to /test/. Thus, we have an endless loop.

How is the execution order of HttpModules and ISAPI Filters determined in IIS 7? Can the order be changed? I found this question, but it didn't really help. I'm not a master of IIS 7, but I do understand to some extent that modules and ISAPI filters run "together". Unfortunately, they are still administered differently and I can't figure out how to force one to run before the other. Help!

Note: let's assume I cannot change the existing code. It worked in IIS 6. I just want to know if there's a way to make it work in IIS 7 Integrated mode.