@Rachel Jane a lot of issues here to consider:1) Does the condo association even allow rentals?

And while that number varies somewhat, the most common number of different issues that minimizes risk is 21.  

The issue is: can the operator survive to that "long term".  

Ask the listing agent for a list of known issues.

Since the properties are in New York you have a few extra steps you need to do to keep all of your funds out of NYs hands at closing.Here's an interesting BP thread on the South Carolina property tax issue you mentioned. https://www.biggerpockets.com/forums/725/topics/604427-south.... 

Partnering with local experts who understand zoning, permitting, and market nuances can help you avoid costly mistakes and maximize returns.If you're in a high-cost area, out-of-state investing can provide access to markets with better entry points and higher ROI potential.

The issue I have with Zillow specifically is that every URL to an address contains an unique identifier called a ZPID.

small portion" of profit is not worth the possible legal issues.

I hope this is a smooth process and I can remove them without any issues.

The biggest issue was getting it out of there. $250.