I'm looking for autodidects and could care less what educational format they prefer.
The hard problem is finding a way to filter out fresh graduates (from either college or highschool) who can't code from those that can without having to slog through reams of poorly written coding tests in the process. For people who have been in the business a while it's a bit easier because you can usually take a look at their work history and the keywords they decide to use on their CV and intuitively get a reasonably good feel for where they are career wise. It's still very important to have them go through the code test as well though because CVs can be misleading and I'm still regularly amazed at people that come through with 10+ years of experience on paper who somehow still fail at basic programming tasks.
Ultimately I think tech recruiters may need to just step up their game. It's no longer sufficient to just play buzzword bingo to try to find candidates for a position, they need to actually have some amount of technical chops themselves in order to screen potential candidates. At the moment it seems like the industry standard is that recruiters function primarily as advertisers for open positions, while all the heavy lifting of actually evaluating candidates (of all levels) is ultimately left up to the devs at the hiring company.
I think what you meant to say is you're looking for people with passion for the field, grit and curiosity and with a proven track record of delivering. The best engineers learn from others and stand on the shoulders of giants.
Non-degreed applicants almost always need a recommendation to bypass recruiter screening (though recommendations work better than recruiter CV screening in general).