I ordered my phone (6+ 64GB silver) through Verizon...with the EPCD or whatever error it didn't go through until about 3:45EST. Also ordered my mom's phone (6+ 16GB silver) through Verizon.
My mom got an email with tracking info at 7PM on Saturday. I still haven't gotten an email, but my credit card was charged last night and this morning I'm seeing my order, and a tracking number, in My Verizon.
One weird thing...my tracking info is for UPS (the link takes me to a FedEx page but the number starts with a "1Z..." so I know it's UPS - no info on the UPS page yet). My mom's is for FedEx. Maybe FedEx has stopped taking orders so they can get the ones they have out on time?
EDIT: Just got the email that the phone shipped through UPS and should be delivered on Friday. Still no info when I click the tracking link.