Jeff,
As far as I know there is no way to get around this — Salesforce always disables inline-editing on standard detail pages if you are overriding / redirecting the Edit action to a Visualforce page. So your options are:
(a) Don’t override the Edit page
(b) Prevent users from ever getting to a standard Salesforce detail page for this object
Wish there was a better option here.
Zach