Hello ChaloCanada,
I have applied for Canadian Visa couple of times. Once, when I was in school. I had to sent my I-20 for VISA. Second, time, visa was based on H1B. I used to work in San Francisco. Many Years back, one Friday morning I drove to LA consulate to get Canadian Visa in person as I had a trip lined up following week. LA consulate do not give VISA in person on Fridays. They collect the documents and ask the candidate to come back next week or give the option of sending passport by mail. I drove 6-7 hours from San Francisco and had to go to Canada next Thursday. I told the consulate exactly this. The lady at window looked at my documents, which had an employer letter, I-759 and passport with H1B Visa stamped. She talked to her senior and they decided to give me visa. I had passport back in couple of hours. Even the guard at door said that he had never seen something like that. What I am trying to say is that LA consulate folks are very considerate. Below are few options, in my opinion,
1) Go go LA consulate with your current I-759 and proof that extension is in process.
2) Get an I-20 from school ASAP.
3) Sit back and relax and improve your skills if you expect to receive your PR within couple of months. As long as you leave country within six months from Sept 30, and stay out of trouble, you will not get 3 year of 10 year ban to enter USA. As per rules, legal presence starts from day of expiry of I-94. If you stay over 6 months, you get 3 year ban. And if you stat over a year, you get 10 year ban.
4) put your belongings in storage. Go to India and wait of PR. You will get PR, unless there is a serious medical condition, which I am sure is not the case. So Cheer UP.
Believe, me, after staying 10 years in US on Student Visa and then H1B visa, stress is not worth it. Keep optimist and Alberta is a very good state to settle sown, both economically and naturally. I have seen Alberta developing from my first visit in 2001.