There isn’t really anything within a mile. Lear has a place a few blocks east and 10 or so blocks south. Next would be Grace, Asian Model Spa (not recommended), A-Zen (not FS or young) in the diamond district. NYAW would be the easiest for you to get to, hop on the bus that goes crosstown and get off on the east side. Asian Lassies is near Port Authority. After that you have places like KissKissPop and Private Hottie further south. There are other smaller places in the diamond district I am not mentioning but are there too.
Depending on what time of day you are thinking of going, you can get free street parking (after 7pm mostly) at the above places. Just don’t read the parking signs wrong, read it top down and it will make sense. Don’t ever park on the streets the three places in the diamond district is on.