I'm not well-connected, and if you have a bunch of experience on your resume, you're probably established enough. Send your resume out to a bunch of companies. Expect that most of them will reject you, some subset of those will waste some of your time first. From the outside, you can't easily tell which are the good companies to work for. But eventually, if you have good technical skills, you'll find a place that cares about that more than resume buzzwords and FAANG employment history. I have, over and over, and have made a career out of working for those places.