What does the application need that it is not getting? Personally, I'd start with the first one above. Make the users administrators over their computers. Now, you could do one or some of the following: - Figure out just why the app is crashing and work around that. The only way to do that is to escalate, which involves the UAC prompt. To run with administrative privileges, an application (run by a non-admin user) must be escalated.
The problem is that what you are proposing goes dead against the Windows 7 security model. You may well be out of luck here, unless you change the givens in this problem.