Impeaching a President when the Senate is limited upon conviction to Removal from Office is a waste of time. But I guess it would be a political statement of sorts. But it's better suited for Moot Court, not the House of Representatives.

Article 1 - Section 3 "Judgment in Cases of Impeachment shall not extend further than to removal from Office, and disqualification to hold and enjoy any Office of honor, Trust or Profit under the United States: but the Party convicted shall nevertheless be liable and subject to Indictment, Trial, Judgment and Punishment, according to Law."

Impeaching a President when the Senate is limited upon conviction to Removal from Office is a waste of time. But I guess it would be a political statement of sorts. But it's better suited for Moot Court, not the House of Representatives.