I hate to say this, stop applying. Find a recruiter on LinkedIn. This is what it has come to. There are thousands of resumes being sent at my company, yet the recruiter can't find anyone. Why? Because no one is applying through her link. The regular resume channel is reserved for bots at this point. Contact a person and you have more chances.
Your resume has way more chances to be considered seriously if instead of just sending it to the company inbox someone already working for that company recommends you. If you have any friends, family or ex-colleagues working on a nice place, tell them that you are looking for a position and ask them if they would mind referring you. Although it's becoming rare, some companies still have a "referral bonus" for employees that bring up other employees. You might even do them a favor.