Earlier quoted context omitted.
Simply put: Talk to people who have more money and higher expectations, and highly value efficiency (OP's selling point of being a "single person" means not dealing with a whole team, back&forth comms, etc). Don't talk to your local barber who wants a website to show up on google maps. I have a similar weekly rate but $200 hourly; How I bill depends on the client (though yes, gravitating more and more towards weekly…
This doesn’t answer my question. How do you find people “who have more money and higher expectations, and highly value efficiency”? > “Don't talk to your local barber who wants a website to show up on google maps.” The specific case I was referring to was a series seed funded startup that needed to build an MVP. Even for them $10,000 was too much. They ended up finding someone for half that to build their entire V1.…
Once they have 3+ programmers working full time, they'll be spending _at least_ $15k every single week on their site/app -- likely way more. Save them even a single near-future month of crap-rewriting, "switching frameworks", infrastructure headaches, "one-click signup", getting their shaky foundations sorted out, etc., and it's a very clear win.
I've seen founder and first contractor tech debt that was really hurting the business take _a year_ to clear out, because once the business is running at all, you can't just swap out the engine. Heck, I've seen it take 5 years! Making the right choice today can really change their whole outcome, from struggling or closing to thriving -- and a bad contractor is not the right choice. (etc...)
You have to show them: your rate is just a demonstration of your value. If they pick you, they're gonna be laughing all the way to the bank.