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I recall some later devices/IOSs have some feature to preclude normal password recovery. Don't recall the actual feature name or IOS command. Do recall, if you use the procedure, don't lose you passwords!
BTW, another approach is place the device behind a lock.
PS:
Hmm, just found http://www.cisco.com/c/en/us/support/docs/routers/3600-series-multiservice-platforms/46104-no-service-pswdrec.html?mdfid=268437963, which might have been the feature I remembered.
If so, it doesn't appear to exactly satisfy your requirement.
