The administrative agencies do not merely “advise.” They make regulations with the force of law (legislative power), enforce those regulations (executive power), and adjudicate violations of the regulations (judicial power). That concentration of the three powers into a single entity is the very thing the Constitution goes to great lengths to avoid.
You can't have an effective executive without some kind of rulemaking authority.
Marshall wrote in 1825--
"The line has not been exactly drawn which separates those important subjects which must be entirely regulated by the legislature itself from those of less interest in which a general provision may be made and power given to those who are to act under such general provisions to fill up the details."
(And, of course, subsequent decisions have helped to draw that line more exactly).
> adjudicate violations of the regulations
You can always go to a real Article III court, but you need to exhaust the remedies within the agency first.
With which article specifically?
Yes, enforcement should not be managed by these agencies. The way to fix this is to reshape them, not give in and let the executive run the show without checks. Of course, that requires a working legislative body and a judiciary that is not fixated on the end times.