TSN has come to their senses and the Super Rugby matches are now available on TSN Go
on demand. I'm still not sure why they can't utilize one of their five feeds overnight for this, but having the games on demand is an improvement over having them only live in the middle of the night when hardly anyone can watch them.
http://www.tsn.ca/video/on-demand (scroll down a bit and you'll see a few games). Login required, as you'd expect with TSN Go.
Edit: And I just checked the TSN Go app, and they're on there too, so that's good.