Having been in sales for the majority of my career (in one way or another) I have learned not to "fear" those with bigger titles.
It's served me well, especially during prospecting for other companies and my own.
Here's a piece of advice that works wonders:
When you apply for a job, try reaching out directly to the hiring manager. If you can't tell who it is, do a little investigating on the company's website, LI, or even on FGB.
Send either an email or a message with a unique cover letter. Your effort and creativity will immediately stand out.
Will you hear back from every one of them? Nope. But I bet a few will respond and you'll be added to the top of the candidate pool.
Would you dare to try this??
I have some cover letter tricks up my sleeve. Feel free to message me if you need some help in this area.