How can I force-update HP printer drivers?

We have had luck connecting a HP printer to the mac with USB, adding it to a local print queue and then letting software update install the drivers. The drivers are mostly monolithic so any update to any HP generally gets them all updated in one shot.

In the past, they had used a certificate to sign their helper app and when it was revoked, many chose to go get the driver and install it but I haven’t needed that procedure since a month after that event.