Ive heard through the grave vine that approaching Amazon via customer service and asking for the primary shipper to handle all phases of the process will stop your packages from getting handed to local services.
Contacted Amazon and they claimed they prioritized UPS for my address. Seemed to work -- packages come via UPS almost exclusively now. Pretty good resolution in my book.
Maybe it has to do with my region, or the fact that I'm quite close to a regional Amazon warehouse.