Was a solution ever fond to the LWP::Protocol::HTTPS make test? I am having the same issue.

Its simple, switch networks (whatever firewall/loadbalancer/proxy/network you're using isn't cooperating -- or you forgot to pay bill or your credentials expired )

or skip the test, or force the install, or both :) cpan -f -i -T Module ; gets the module to install but you still may have same network problem