Custom Domains with https in Shiny

I have a shiny app (see StanpumpR) which is used by anesthesiologists and trainees to help understand the pharmacokinetics of intravenous anesthetics. The name is impossible to remember, so I have used "" as a custom domain. However, Stanford now blocks all http requests from the hospital. I expect other high security settings will start blocking http as well. This makes it impossible for clinicians and trainees to access stanpumpR, essentially defeating the purpose of developing it.

Does anyone have any idea on how to implement https for a custom domain in Shiny. I'm happy to pay for an SSL certificate. However, the posts I found basically indicate that this isn't possible, and I don't see any evidence that this is a priority for the Shiny development team.