How to find a deleted news via internet archive?

  1. I am definitely sure that I’ve read some news between 22 Sep 2012 and 20 Mar 2013. I think that news is deleted from that site.
  2. I know the exact address of that site.
  3. That site is not in English, and it is in Persian.
  4. Also, I can remember the important keywords of that news.

I used web.archive.org, and it listed 15 pages per month [by average], but it should not be correct, because that site is a great news agency.

I don’t know how should I find that news. Is there any search engine in which I can restrict the address, and the interval of dates?

Also, I don’t know what is a good tag for this question. I hope that someone helps me by editing my post with some suitable tags.