It depends on what tier of Manhattan service you are talking about. If you are expecting PH, Grace, Asian Lassies level.. no way, not even close , at least in Brooklyn.
If you are thinking of the somewhat hit and miss FS spas, then you might try Van Brundt that is reviewed on this site. Even there you will have to get lucky. Every place I've tried in the past that seemed to bill itself as possible equivalent, has come up way short. You may have to spend way more than you are willing just to find out. Such a thing still remains a unicorn in these parts.
I think you will need to use your Metrocard.