Hello Rash04,
I think it would be fine to provide "screen shots" printouts. Skype i think you can export into word/excel and provide relevant communication.
In-case you feel the need, add a covering letter to declare that the nicknames/email-ids are you/yours spouse's, that should be suffice.
Also, i feel(seniors can correct me), the communication logs are just supporting documents to your proof. Proof are officials documents - marriage certificate, photos of various stages, receipts of journey undertaken together, boarding pass etc.
As per my attorney's suggestion, i gave lot of "email" exchange(thankfully we had) & "logs" from skype and similar exchanges, 40 odd photos pages (engagement - honeymoon), preferably add photos with immediate and extended family.
Thanks
KanSri