Disclaimer: This code makes your server insecure.
I had the same problem in Mandrill.php file after line number 65 where it says $this->ch = curl_init();
Add following two lines:
curl_setopt($this->ch, CURLOPT_SSL_VERIFYHOST, 0);
curl_setopt($this->ch, CURLOPT_SSL_VERIFYPEER, 0);
This solved my problem and also sent email using localhost but I suggest to NOT use it on live version live. On your live server the code should work without this code.