Ford installed part #164-R4903 (foam tape) at the contact points under the storage containers surrounding the spare tire. It has made a noticeable improvement, but the thumping persists on larger bumps on my commute. I'll seek out other inadequately secured factory items on my own now that I'm aware of sources to consider.
Also, the technician noticed a "sloshing" sound coming from my 3/4 full fuel tank and initially wondered if that's the sound that was bothering me. I had yet to notice it but explained that now that he's pointed it out, I can't "unhear" it. He said it's a known issue, and ordered a part which I'll have installed on my next service visit.
Aside from those issues, I'm pleased with this vehicle purchase. It's full of welcomed safety features, quiet*, roomy, and comfortable for thirty-minute commutes involving both city and highway driving. In terms of available features, I consider the 2019 Edge a significant upgrade over the 2014 Fusion Titanium AWD that I traded in, and the flexible cargo capacity is excellent for my needs. The 2.0L EcoBoost engine is also more than adequate for me, although the steering torque on acceleration ramps is something I'll have to get used to that didn't occur with my Fusion. Solution: I think that the vehicle should "intelligently" engage AWD when rapidly accelerating from a slow speed because "flooring it" to engage AWD isn't always necessary for a safe merge onto the highway.