I applied for some programs in the USA for a Ph.D. program for the fall semester and was very busy with my academic jobs, resulting in having no time to email the department faculties. So, I applied blindly, mentioning just three of the most related faculties to my interests in my application. Now, it is February, and I have got no admission offer right now. However, nowhere rejected me too.
I still have a hectic work schedule, and searching all the universities' faculties' pages and customizing the email for each cannot be possible. Nevertheless, If I can gather enough time to email them, isn't it inappropriate to email them after a long time after the deadline? For instance, two months after the deadline? Can I email them now, requesting them to look at my application? I am afraid of being neglected by some of those fantastic faculty members who I will fit their research groups.
It would be great if you could provide more advice in your answers.