I think it would be a good idea to host a couple mirrors to avoid issues like this in the future.
I have a couple of servers and a little bit of spare bandwidth and would host a mirror if possible.
I think i found the issue.
The problem is not the SSL cert, its the cipher!
I made a demo site that works with a LetsEncrypt 2048 bit RSA cert.
I tested 60 ciphers and only 4 worked with the ps3.
If you add one of the following ciphers to the webserver, ps3toolset will work again...