I think there are 2 likely possibilities:

A. The Republicans get their act together and vote as a block for the new Speaker, with all Democrats voting NO. This is what happens in a normal House of Representatives. The new Speaker would need to get votes from both the crazy team and the normal team. Possible, but looking less likely every day.

B. A compromise similar to the recent funding bill happens: with most Republicans and most Democrats voting for the new Republican Speaker. This would be something new, and so would take some courage. The new Speaker would need to get Democrat votes. This becomes more likely the closer we get to the November 17th government shutdown.

==== links ====
Government shutdown averted with little time to spare as Biden signs funding before midnight, October 1, 2023
"The package was approved by the House 335-91, with most Republicans and almost all Democrats supporting. Senate passage came by an 88-9 vote."
apnews.com - Government shutdown mccarthy congress republicans

The 5 Main Factions Of The House GOP, Feb. 1, 2023
Moderate establishment
Conservative establishment
Far-right establishment
Tea party conservative
Pro-Trump insurgent
fivethirtyeight.com - The main factions of the house gop

'5 Families' and Factions Within Factions: Why the House G.O.P. Can't Unite
The House Freedom Caucus
The Republican Study Committee
The Republican Main Street Caucus
The Republican Governance Group
The Problem Solvers Caucus.
newrepublic.com - House republicans five families mccarthy marjorie greene mob

'5 Families' and Factions Within Factions: Why the House G.O.P. Can't Unite, Oct. 23, 2023
The Republican free-for-all for speaker reflects a web of overlapping blocs that have made the party nearly ungovernable.
"Republicans have made no secret of their divisions. They openly refer to their various factions as The Five Families - a reference to warring Mafia crime families. They consist of the right-wing House Freedom Caucus, the conservative Republican Study Committee, the business-minded Main Street Caucus, the mainstream Republican Governance Group and the bipartisan Problem Solvers Caucus."
nytimes.com - House republicans divisions speaker