After much work we’ve gotten Tamino working with apache over https. Works just fine in the interactive interface, but X-Plorer refuses to connect. Initial problem was that we are using a self-signed certificate and as a result we were getting ValidatorExceptions when attempting to connect; managed to add it to the keystore successfully and that particular exception is no longer thrown. Instead, we get “Server not available” “HTTPS hostname wrong: should be null”.
Scratch that, got it working. Needed to use the fully qualified hostname as specified in the CN field of the certificate obtained via keytool -printcert. Sorry for the bother.