Well, you're right but for the wrong reasons.

It has nothing to do with time stopping for you (though it would). If that was the only barrier, then why couldn't you just be on a vehicle going 1mph under the speed of light and throw a 90mph fastball forward?

What actually stops you from exceeding the speed of light is a sort of implied barrier. It's like our speedometers don't go any higher than that. Theoretically, if you were to do something like what I just suggested with the baseball, the ball would effectively teleport.

What is it they say about silence being golden?