Quick gut check.
How many applications have you sent that got zero reply?
Drop the number below. Just the number.
No advice in this post. I want you to see something: scroll the comments and you'll realize you're not the only one. Not even close.
That silence you've been taking personally? It's a room full of people getting the same silence, for the same reason, and almost none of them are the problem.
Your number. Below. Let's see the room.
P.S. While you're here, one thing that helps. Stop tracking applications sent. That number only measures how tired you are. Track what you actually control: proof created, conversations started. Those are the numbers that move.