Nepalese students that changed countries.

The thing is that, I was really confused about abroad studies, USA or Australia.
The primary goal is to end up in New york( might be delusional). The current status of students in U.S is just sick...I was told many times that if you can get into an IVY league or a top elite university with good funding then you should come to U.S. Being a good student that performs well academically and technically, I wanted to go to U.S but it's too uncertain. I thought about something else..
Since it's that hard in U.S... What if i go to Australia for my undergrad and then go to a different country U.S/ UK for masters. I could only dream about this as i don't really want PR, I don't want to live in any foreign country. I just want to work like 20 years and come back to my country and live peacefully. That's it!
So my question....
Has anybody done this? Switched countries despite being an international student and had good outcomes? Please, answer with great consideration and truth
I only seek advice and suggestion. Thank you very much!