I would suggest first and foremost working on your personal brand. Social media recur tiers want to see evidence of what you have done and your ability to influence. For example, if you created a blog centered around your career goals and it generated significant traffic, recruiters may come across it and reach out to you.
Also, a lot of sports careers integrate social media into their marketing positions, so I would suggest applying for those….at least until you find yourself in a solely ‘social media’ role.
Hope this helps!