Making Time to Make a Name for Yourself
It's not possible to achieve expert status without putting in a certain amount of work. Even if you work 80 hours a week chances are good that you have a free half hour or so every day that you can devote to helping make a name for yourself.
Use this time wisely and rather than attempting to book speaking engagements or interviews that you may not have time for you, should focus on creating an amazing blog or a podcast that can help showcase your knowledge.
The most important part is that you find something which you can fit into your schedule so that you can do it well instead of stretching yourself too thin and possibly not getting anything done or doing numerous things poorly.