I got a decision email!
Arrived in Sheffield: April 6th
Email confirmation: April 7th
Decision made: May 11th
The UPS tracking ID still does not have a delivery date set, but I should get my passport back in plenty of time to make my June 2nd wedding in Derbyshire (legally married in NYC in March)!
I'm still nervous about the outcome since we did not have certified bank statements or my husband's landlord's explicit permission for me to live in the house (we did have other homeowners vouch we could move to their place but did not include their house deeds). Otherwise, my application was fairly straight forward.
We only applied for priority last week, so I guess that moved our application in line with the other early April applicants. I was not sure how that would work.