You can ping a specific CCC LSP. The CCC LSP ping command is identical to the one used for MPLS LSPs. The command you use is ping mpls <count count> <rsvp <lsp-name>>. You can also ping a secondary standby CCC LSP by using the ping mpls <count count> <rsvp <lsp-name>> standby path-name command.
For a detailed description of this command, see the JUNOS Routing Protocols and Policies Command Reference.