In my world it has become almost impossible to get an interview by applying to a company directly. There are just too many people and most of them are not even remote qualified and those that are still probably aren't very good. So, everybody is reliant upon recruiters to serve as match makers.
I suspect your world is exceedingly different because its a high barrier of entry and the people who do that kind of work tend to be better educated.
Maybe try completing a profile on major job boards like dics.com and indeed. That way companies can be searching for you while you are searching for companies to apply to.