There really is a very simple solution to all of this.
All the people refusing to vote for Jordan simply vote "Present". This lowers the threshhold for Jeffries to take the speakership without actually needing a single Republican vote. Those who vote Present will be able to say that they didn't vote for Jeffries and are waiting to throw their support behind a different candidate.
2a) Jeffries takes the gavel and gets us through the debt ceiling and aid for Ukraine and Israel.
2b) While this is going on, republicans take the time to find a speaker they can all agree on. Since they're in the majority, Democrats wouldn't be able to pass any other legislation without GOP votes anyway, reducing Jeffries to keeping the gavel warm.
When the GOP finds a new speaker, they can introduce a motion to vacate the chair and elect their own speaker.
Problem solved.
Number of Republican votes cast for a Democrat candidate: 0
Number of Republican votes cast for a Democrat bill outside of Ukraine/israel aid and the debt ceiling: 0
Number of other bills Democrats will be able to pass in the meantime: 0
And they can take back the gavel any time they want it. Heck, they can even spin it in the next election by "showing how Jeffries was ineffective as speaker" or whatever other spin they want to put on it. At least we'll be able to get back to business in the interim, and the GOP can take as long as they want fighting their little civil war.
I know it'll never, ever, ever happen. But it would at least work.
It's a brilliant proposal, but the key flaw is assuming the Republicans want the government to function. :) At their core, they don't believe it can or should work.