You’re right the Senate, as it is presently composed, would not convict. But once we’ve retaken the Senate, which we will, maybe we can get some traction on that side!!
With every day that passes this administration is making congress less and less relevant, in one hearing I think it was Trey Goudy that said that the electorate will conclude that this body is not bound by law and neither are they.
The longer the House waits to act the less likely it is that they will be effective in any action they do take. They are clueless to how quickly their power is evaporating.