Where should I invest for cash flow from NYC?

[Jinyu Shao]

Greetings!

I'm new to real estate investing and new to this forum as well. I've been browsing on it for a few days and this feels like a great community of experts and investors. :)

I'm looking to purchase a rental property to invest for cashflow, all cash, around $70k, for $1000-$2000 cash flow/month, in a safe neighborhood. I would like to find an area that's close to NYC, where I live now. I've been looking at a few cities in upstate NY, but most of the major cities are 4 hours away or more. 

My questions are:

Are there cities I can invest in close to NYC (2 hours away max) that meets the numbers and my criteria?

If not, which cities farther up should I invest in?

Where else in the US can invest in? Is it a good idea to remote manage an investment property just starting out?

Thanks in advance!