This was very uneventful. I called in, and the person I spoke with allowed me to use the pre-screened offer with my office address as the mailing address. She said she'd have to ask some extra questions to ascertain identify, which I was fine with.
Besides the minimal information that's shown on the short form that came in the mail (address, SSN, phone, income) I had to provide the name of my employer, verify a few random items from my credit file (who has my mortgage, did I ever have a car loan with bank X, etc), then she put me on hold for maybe three minutes, and came back with an approval.
Card should arrive "in about a week", or I could've asked for expedited (2-3 business days) with a $15 service fee.
They pulled TU, btw.