Playing devil's advocate, did your recruiter ever rush you with other things before? What exactly are you worried about? Why not are you feeling worried?
As mentioned above, the requested information likely already has your personal info (SSN, etc.), in addition probably post it notes/arrows to show the recruiter/you where to sign. So it makes it difficult to just scan/send all of that. With that said, your recruiter or processor can send a blank copy of the BDCP service agreement if it will help alleviate things.
Whenever you come in person and sign everything, you should be given a run down on what the form is where/what to fill and sign.