The word in Modern Greek, I think, is: ΛΟΥΤΡΟΠΟΛΗ
There is a word in the GNT that may have been used for a place similar to a spa: ΛΟΥΤΡΟΝ, although this deals more with washing, bathing. I wonder if more female services were also performed at the ΛΟΥΤΡΟΝ, such as on the face, like putting a mud pack on her face and 2 cucumber slices on each eye

This may be a reply off list since I don't think it appears in biblical Greek, but I am not as familiar with the LXXs.