Well, I'm a Finn too. I personally use a bi language approach:
Terveisin/Regards,
My Name
Contact details
Terveisin means about the same as Regards. Semi informal ang commonly used in emails.
Regards = Terveisin => terv. (informal) ==> t. (very informal)
Kind regards = Ystävällisin terveisin => Yst. terv.