Hopefully the democrats can get enough seats with the moderate Gop to take control...God help this country if the fake freedom caucus gets control...Say hello to a third world country.
I could see a coalition between the Democrats and moderate Republicans being enough control the house. The new speaker would be either a moderate Republican or a centrist Democrat, (probably the former) committee chairmanships would probably be split down the middle, and Democrats might even get key votes (they'd have to convince some GOPers to vote yes to get passage tho) in return for promising to vote yes on appropriations bills and other stuff to keep the government's lights on. The freedom caucus would be completely shut out.
Seriously. There are maybe a dozen plausibly "moderate" Republicans in the House, and most of them will be sent packing next week.
At a minimum there are thirty. I'd say there are about 65.
Who would actually join with Dems in a coalition with a compromise Speaker choice? No, I doubt there are more than one or two who would do that. Instead we'll just get months of chaos, with no one able to get a majority to elect themselves as Speaker.
