I would pay an extra $N/year for a Really Prime service which included the feature “will not use USPS for shipping”. Every other carrier you use is either on-time or early, but I get things faster from Amazon Japan than when you do “two-day” shipping via USPS.
You seem to assume that if a package is processed at the local post office in the wee hours of the morning, then it will manage to reach my office 0.7 miles away before the end of that same business day. Sadly, it ain’t so. They might manage to make it there by 7pm, but they’ll just cruise on by, because they know the front door is locked. If they’re busy, they won’t even do that, they’ll just wait until after 8pm and mark it “business closed”. Or both, turning it into a four-day delivery.