As a remote contractor, you really won't feel like you are part of a team. I've been contracting for the last 10 years and I don't expect to be part of a team, because it's only a way for me to fund my other businesses.
You need to find a 9-5 job where you can go into an office every day and interact with your co-workers.
"I lack the career wisdom and maturity of a typical 10+ year engineer. Nobody really thinks of me as someone as a skilled expert in a topic, someone they could forward jobs to, or refer me to."
Why wait for referrals? I found all of my contracting jobs by reaching out on Linkedin or various job sites.