"Could not create SSL/TLS secure channel" in an Azure Web Application

My Azure Web Application needs to connect to various servers (both with and without SSL). This works perfectly as long as I run the application in my local IIS Express or IIS 7.5 on Windows 10.

As soon as I deploy the application to Azure it stops working for certain servers that require SSL (thought not all). If I run it through ssllabs these normally get an A while the ones that work get a B or a C.

So I would assume that .NET on an Azure instance supports less ciphers than I locally support or something like that?

I've tried out this

ServicePointManager.ServerCertificateValidationCallback = delegate { return true; }; ServicePointManager.SecurityProtocol = SecurityProtocolType.Tls | SecurityProtocolType.Tls11 | SecurityProtocolType.Tls12 | SecurityProtocolType.Ssl3; 

Also tried it without any of the TLS flags, since this is what most people suggested, but it didn't help. According to the below post there was a fix in October but it's December now.
https://social.msdn.microsoft.com/Forums/en-US/ca6372be-3169-4fb5-870f-bfbea605faf6/azure-webapp-webjob-exception-could-not-create-ssltls-secure-channel?forum=windowsazurewebsitespreview

It also has nothing to do with Cloud Flare.

Any ideas? Or maybe to get started, how do I see what cipher my application is trying to use and what is available?