I forgot to update this one. Thanks to Adam at NorthShore, I was able to get the Pharmacist the info she needed. Now as soon as NorthShore sends them to the VA, and the VA sends them to me, I'll be getting some NorthShore diapers every month. At least until March next year, when the VA changes to some new system.
On the other hand, my Senator is apparently going to bring this up somewhere, probably the Veterans Affairs Committee. Here's hoping for some changes.