Is there a way to send and receive text messages without any phone #'s showing up on the AT&T phone bill? Both sending and receiving phones are iPhones.

Not that I know of.

As Twinkie said I don't think so either , I would suggest ringing AT&T and asking them if they provide such a service.

You can send text messages and receive them on Yahoo Messenger. I know this because I have used this to text my husband.

MRS.S