With ASAs you can setup access rules for who can login to ASDM/Telnet/SSH. What you likely need to do is setup a rule so the IP address of you NCM server is allowed to make an SSH connection to the device. Even though you can get SNMP access to the ASA doesn't mean you can SSH to it. A good way to test it is to download putty or another SSH client to your NCM server and attempt to login to the ASA with the same credentials. If you're having login issues, that will tell you. it's a pretty simple allow statement or you can use ASDM and allow it under the Device Management tab.
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