first off, you mutts still need to name a high crime and misdemeanor that President Trump has committed that warrants impeachment in the first place.
Ball's in your court.
Nothing prevents the House from impeaching Trump for his orange complexion. So the House can throw together whatever gobbledygoo they want. Then the Senate will be presided over by the Chief Justice, but can proceed as they choose. So McConnell could possibly bring it to a vote more or less immediately, since no actual crimes and evidence could be presented - none were committed, therefore no evidence to present.
This is why Pelosi is trying to keep Dems whipped up, but keep them short of the stupidity of a vote on impeachment.