There are one bedrooms and studios for < $2k in brooklyn. They might not be fancy, but they exist.
That might be more than other places, but you have to factor in you don’t need a car here. So that’s $10k/year saved (though I think it’s about $2k/year if you max out your transit rides before they become free every week).
You’d have to pay me a shit load of money for me to consider living somewhere that isn’t walkable.