Hey Daniel.
I gave that a go, both through the plugin and via direct code but still no dice. Through the plugin, the DIV it did not work at all, the Hype doc did not push out the container to fill even the min height. I then tried an iframe (via the plugin) and had more success, in that it respected the min height setting.
The issue is though (which goes back to original question), with the wrapper's min-height set to 550, which is height of the doc, the DIV wrapper does not scale with document across breakpoints. So while the Hype doc. scales beautifully, the wrapping DIV, set to 550, stays at 550 - I still have to instigate the css breakpoint adjustments to offset DIV wrapper's behaviour.
Hmmm.
Here's a link that demonstrates the issue https://playforest.com/mag-100/ch-00-00/prelude/ - collapse your browser window or look at it on a phone and you'll see the issue nicely.