I was an expat in Poland for some years (unfortunately non-STEM job) and with that money your only limit is yourself.
I'm also dreaming of doing this, though currently on the other side of the world.
Most of my Polish friends working in Poland as programmers(ranging from C++ to Web development) make about ~$2500-3500/month, and that's considered extremely good for where they live(Krakow and Warsaw).
But still, you can work remotely for a US company and make that kind of money. That's pretty realistic and was probably the source of the fortune cookie wisdom.