Was I correct with the category I thought I submitted to?
I think it is, but I'm not sure, since Shopping isn't a category I edit.
I don't suppose there is anything I can do to speed things along?
If the title and description of your submission conforms to guidelines, it
might speed things up; there are a number of editors who look through the list of unrevieweds and publish those first, since those take the least amount of time. You could resubmit, but that would send you to the end of the queue; however, that
might not hurt, since editors aren't obligated to edit submissions in the order they appear in the queue.
What is a typical time that it takes to review 300 sites?
Impossible to say. It depends on the amount of time that the primary editors involved with the area spend editing. If they're involved in a project somewhere else in the directory, they might not spend much time in the T-Shirt area. Or they might have recently got something new to do in Real Life, like a new child or a vacation. Then again, another editor might come in and edit some of the unreviewds.