There is tons of work out there for programming, you don’t have to do doctorate level algorithm innovations to be a productive programmer. I understand your frustration but maybe you are setting the bar too high for yourself?
or if you're good with people a solutions engineer is a good options, because you are mostly the "nerd in the room" during the sales process: leveraging technical acumen to demo, build hacky prototypes, and solve the potential customer's problems.
Solutions engineer also sounds interesting. Thank you for mentioning it.
here's a unicorn list (all private companies with at least $1 bil market cap) https://www.cbinsights.com/research-unicorn-companies
Pick one and look at engineering roles. For example, I would assume this role at Brex (no affiliation, chose from list) pays at least 180-200k. https://www.brex.com/careers/engineering/4946341002/
of course, public tech companies (e.g. FAANG, Twilio, etc) will also pay that.
So get a FAANG manager position.
With that attitude towards your chosen profession you can do all the leetcoding you want and still don't get a job.