Is it possible to have a single SSL certificate with IP address and domain name?
Solution 1:
Yup, when the SAN field of the SSL certificate contains the IP:XXX.XX.XX.XXX value it's possible to successfully connect to such a service without warnings (for a known CA, of course).
But in reality this has to be supported by the CA you are buying the certificate from. In my experience I don't remember seeing such options in commercial CA web interfaces, though this doesn't mean you won't find one.