Trivially easy - Gmail, or any mail service, and Google Voice. You can set up fictitious/anonymous accounts on these servers, and use them to send emails and texts with attachements.
It is an interesting way to see how far she'll go, and what her reaction is to anonymous approaches. Of course, you have to be clever about it. It is an interesting technique in the seduction process if you can be patient and convincing as a 'stranger' hitting on her.