Hi @buellj ,
I can't address your first question, but I can speak a bit to the second. I was the LMS admin (among other things) for a small consortium of international schools in mainland China from 2009-2015.
Unfortunately, the question is much more difficult to address than a list of impacted websites or IP addresses. Many variables are at play including the student's region, the student's ISP, the time of year (e.g. is it close to June 4th?), other filtered activity within a shared end-user IP range, other filtered content within the server IP range, whims of the government for enforcement, etc. etc.
As your students are geographically distributed there's no easy solution for "use this" or "don't use this". However, the website GreatFire.org offers an analyzer of websites being blocked in China with a historical view. To date, https://aws.amazon.com hasn't been blocked and neither has https://canvas.instructure.com, but you'll notice that there are "contradictory" data points for both.
While the great firewall has become more technically advanced in the last few years (e.g. doing deep packet inspection to sniff and shut down VPN traffic), VPNs are still the best bet for a way around it. However, it's generally accepted that the Chinese government itself maintains subscriptions to a wide array of VPN providers to sniff and blacklist their exit node IP and/or domain name - effectively preventing the successful connection to the VPN in the first place.
What we ended up doing was spinning up a VPN server out of a provider in Hong Kong (where the internet is not filtered) and configuring each school's firewall to route all outbound traffic out over the VPN, providing an on-campus VPN. This was about 80% successful, and we played with a variety of VPN types: L2TP, PPTP, OVPN, and we ended up settling on Cisco's implementation as the most "stable". It might be possible for your school's IT team to set up a VPN server somewhere on your campus and give students a client which can log in using a university ID. Of course, you'll have to do a cost/benefit analysis of this - as well as a legal analysis, as it's my understanding that not only are VPNs blocked, they're actually illegal for Chinese citizens to have/use, but I'm not a lawyer.
Sorry I can't provide you more help, hopefully somebody else can chime in.
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