So take it to the logical conclusion and disband the state completely.
Or more to the point, be intellectually honest, and argue for the thing you actually want, instead of disguising it with smoke and mirrors about the supposed "impossibility of oversight".
The Church Committee was actually brilliantly successful, if the Snowden leaks are any indication of their effect on NSA. Instead of simply breaking the law outright, they employ every possible trick in the book to get what they need while staying within the confines of the law. Never mind that those interpretations don't hew to what you think the law should be, they were trying very hard to stay within the lines.