I did not say "running out of ideas." I said "writing yourself into a corner." That is very different, and something that can happen very easily while you still have plenty of ideas. It can also happen almost anywhere in your writing process. And, your story will die quickly if you manage to write yourself into a corner, ongoing ideas or not.
Writing yourself into a corner refers to a situation where you have set up conditions where the only way to get your character out of the situation they are in is some kind of story-breaking deuse-ex-machina type ass-pull of a solution, something that would completely break the story. In other words, no proper in-lore solution exists for what the author put the character into. Making the protagonist too powerful to have them presented with a reasonable and engaging challenge is another form of writing them into a corner, as can setting up social situations that are too difficult to create a properly satisfying and plot-relevant outcome for.
There are several ways to write yourself into a corner, and if the story is going for the long-haul it can often be the case that the threads slowly tighten around you from a very early point in the story due to an earlier poorly conceived idea. This is a prime reason for a re-write being necessary, in order to fix something that would need dozens of chapters scrubbed from existence in order to solve for. Again, I speak from experience on this one. Look at "Sister of a Goddess" and "Key to the Void."
And if you are saying the re-writing process is what kills an author's ability to write, then it's only because they are not prepared for it or in the right mind-set. I am talking about conditions where continuing means the death of their story. Why are you not understanding that?
Again, over 90% of the stories on this site are dead. Meanwhile, less than 1% of the stories on this site are re-writes of previously existing stories by the same author. I think simple numbers sinks your theory.
As for edits, that's easy. Simply keep a schedule of editing 2 back chapters for each 1 chapter you write. I've been keeping that schedule myself for a while now.
You are essentially asking all writers to suck and not care that they suck. From where I'm sitting, it looks like you are making excuses for yourself here. In terms of what the OP is looking for, they are asking to improve their work. That would mean "continue writing and don't worry about the things you've already messed up on" is exactly the opposite of what they are looking for.
--------------
Anyway,
@Enchant now, perhaps I should clarify my earlier suggestion on the matter of re-writes. One thing
@KiraMinoru doesn't seem to really realize is that, what I'm REALLY saying here, is that you should consider whatever you are writing now as your trial run. In other words, yes, on the subject of what he's saying, it really is Ok to suck. The reason why it's Ok to suck is because the very best thing you can do with what you're writing now is to consider it a trial-run.
Use what you're writing now to polish up your skills, get down the basic ideas for what you want to write, and make note of all the places things go wrong. Don't even worry if anything makes sense. In fact, let loose and really have fun with things right now. Just explore and try every idea you can possibly think of, because all of this is just a trial run where you throw all your ideas out there and get a feel for what you're really trying to write.
Keep going until you finally have a very firm picture in your mind of what you want this story to look like. Once you finally have it figured out, that's when it's time to re-write it and solve for all those issues you were bothered about in your first run.
In other words, I would characterize
@KiraMinoru's advice as "don't worry about sucking, the readers will eat up anything you throw at them anyway, not worth even trying." My advice is "it's Ok to suck, everyone sucks when they try for the first time. If you want to make a truly great work, keep going until you are ready to try again. There's always time for a re-do. So, with the re-do option available, stop worrying and, for the remainder of this attempt at least, feel free to suck even more."
That in mind, I have a rather peculiar motivational work to recommend that I came across.
Life in a fantastical world didn’t add up to everything Sylas thought it would be. There were no pretty ladies goading him, there were no overpowered items and abilities tossed his way, and there was no calm and peace. Instead, he was tossed directly into a hellhole some few hours before it was...
www.royalroad.com
It's a time-loop story. And, the reason I'm recommending it is because the lackadazical attitude the protagonist eventually starts taking for life is exactly the same mind-set that will serve an author the best in regards to whatever they are currently writing. This approach of "I can always do it over" is paramount to becoming a top-tier writer. Another key feature that he has that's also paramount is his approach of "if something's going wrong, I should gather as much information as I possibly can about why it's wrong. That way, I can do better the next time around."
So, yeah. The MC's attitude in this series can be applied SO WELL toward writing that I would definitely recommend.