Finally got two confirmation emails stating that my iPhone 6+ trade was received and that the $650 credit would be applied (27.08 over 24 months)
For reference, My tracking number showed Verizon received my trade in on 9/26. So the previous estimates others have posted about taking ~2 weeks to update was pretty close.
I was getting worried since the status was still showing the original message about the shipping box being sent to me, but it wound up being ok
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https://www.verizonwireless.com/device-status
And plug in the submission number from your trade in estimate email