Possible to retrieve password of current application pool

Running as an administrator, I can retrieve the account password
stored by IIS for any application pool (using the WAMUserPass
property). But, unsurprisingly, an ASP.NET application running inside
an application pool that is does not have administrator privileges
can't even enumerate the list of application pools.
I can access the application pool by hard-coding the name, but even
then the WAMUserPass is an empty property value collection.
This doesn't hugely surprise me, but it's somewhat frustrating - the
reason I want access to this password is to schedule Windows Tasks
with the same account, and for that I need the password. Seeing as
the password has already been configured and stored by IIS, I want to
avoid needing to configure and store it elsewhere too.
Unless there's another way around this...