After Members of the House leave office, they are afforded certain courtesies and
privileges. Some are derived from House Rules, but many are courtesies that have been
extended as a matter of custom. Former Representatives who become lobbyists have
limited privileges.....
(1) Floor Privileges. Former Members of the House are entitled to admission to
the floor of the House while it is in session. However, they are not entitled to the
privilege of admission to the House floor and rooms leading thereto if they are (1) a
registered lobbyist or the agent of a foreign principal as defined in Rule XXV, clause 5;
(2) have any direct personal or pecuniary interest in any legislative measure pending
before the House or reported by any committee of the House; or (3) are employed for the
purpose of influencing legislation directly or indirectly, the passage, defeat, or amendment
of any legislative proposal. The Speaker may promulgate regulations that exempt2
ceremonial or educational functions from these restrictions.
By tradition, former Members of the House are also accorded floor privileges during
joint meetings or joint sessions of Congress. Former House Speakers are also entitled to
admission to the Senate floor during sessions of the Senate as long as they are not a
registered lobbyist, agent of a foreign principal, or are employed or retained for the
purpose of influencing legislation (Senate Rule XXIII).
http://congressionalresearch.com/98-962/document.php?study=Selected+Privileges+and+Courtesies+Extended+to+Departing+and+Former+Members+of+the+House+of+RepresentativesCould easily run afoul of #3