So finishing the impeachment trial in the House should not happen any time before Nov 2020
Zero chance of that. Too many Democrats currently in office need to be back home running for re-election to be spending time in DC from summer recess on. Most constituents not on the coasts want to see that their representative cares about their local issues, not wasting time on a surely failed process that the voters will have decided long before it fails in the Senate.
I know the progressives hate this, but Pelosi is playing this right. She waited until the Mueller report, which didn't contain enough damning evidence to put the Senate into a bind when it came their turn to decide. Losing an impeachment case would embolden Trump, embolden his base even more, and generally be seen as bad for the country. Look at the impact a failed impeachment move had on Newt in 1998 as evidence.
Best to keep pressing him on his unmet promises, develop a winning economic strategy for the rust belt and swing states, and focus on the best way to remove Trump from office, and that is victory on Nov 3, 2020.