If your strengths are people and strategy, then you should definitely look into presales/solutions engineering.
This is a long post, but I think it is a relevant option to the apathy and disdain you're feeling from the daily grind you're in.
The ENTIRE JOB is working with a salesperson and leveraging people, strategy and your tech experience to get the technical win for (usually large) sales.
While a big part of doing the job is giving demos and (sometimes) showing slides, because you have to know a lot about the product, you can still flex your software chops without worrying about story points. IOW, if you're at a tech company that sells libraries for $x, you'll still need to write code using those libraries so that you can speak to $x, connect with the people you'll be "pitching" to and getting to that technical win.
This will scratch the itch of wanting to code without having to play a story to do it.
No prospecting, cold-calling, contract negotiating, or other sales-y activities required.
You'll make less than a FAANG SWE but more than a non-FAANG SWE. The average is $230k-ish, 70% salary, 30% commission. Unless you have a good commission year. Then you can make WAY MORE than a typical FAANG SWE. Some SEs earn $400k+ on a good year. Still less than a Staff/Sr. Staff+ FAANG SWE (which comes with many more responsibilities that you would consider bullshit).
(Something that doesn't get talked about very much here is how much software sales people can make. There are definitely sales folks pulling in multiple millions per year. That $10B JEDI contract that Microsoft won? There were salespeople and SEs assigned to that account...and $10B is a big number. That said, sales is a MEAT GRINDER.)
Almost all sales engineers I know have awesome work life balance as well. There are days when we're up to our eyes in work, but there are other days when we have absolutely nothing on our calendar. For days. You also (within reason) set your own schedule. At the last two places I've done SE work for, if I wanted time off, I put it on the calendar and invite my salesperson. Some places will ask you to put into your HR system, but it depends. If I need to take off during the middle of the day for something important, I pop that on the calendar, and we make it work. I could NEVER EVER do that before, and it's super cool.
Getting into the field with zero experience is, unfortunately, pretty hard. I'd try to move laterally into it at your current company first or network with SE managers, either IRL or on LinkedIn. However, if you're seriously considering leaving tech (please don't! The world outside of tech IS ROUGH AS SHIT), I'd give this a try.
Another avenue that you can pursue is consulting. It's post-sales, so you'll still be grinding, but you get to hop from client to client without getting too attached to how they do things. If you're more on the strategy side, you can, eventually, run accounts and mostly have conversations with stakeholders about where they want to go. It's harder than presales and usually has lots of travel attached, but it's an option.
Source: Am in presales now, did consulting for 5-ish years, was a SRE for years and years prior to that. I left FTE eng jobs because I wanted to travel more and traveling as an engineer always comes with huge strings attached. I sometimes imagine going back and going real deep into the stack like I used to but then think about the story points and changing directions and other general Tom-foolery that comes with engineering and stay put.