I started to contact more professors a few days ago. Yes, I know it is a bit late, but I thought what harm would it make? So I emailed to 3 professors, and I'm glad that one of them, Prof L, replied quite positively. We are now having a good discussion pertaining to the research that I'm keen to do.
The good thing is that I have not submitted the personal statement for the school where Prof L is in. Hence I have some time to factor in our discussion into the essay.