Try reaching out to recruiters directly on linkedin to enter the system instead of just submitting your resume to be auto-screened. You'll probably have to have

Try reaching out to recruiters directly on linkedin to enter the system instead of just submitting your resume to be auto-screened. You'll probably have to have a short screen call with them first, during which you can make the case that despite the lack of CS degree you know what you're doing, talk about your passion for that company's work etc, and it should be pretty feasible to get a true coding screen from there. These recruiters are so used to cold-calling via email/linkedin and getting no reply, I feel they'd be pretty happy to have someone actually interested (and qualified) fall in their lap.