If you are not using the ENET bridge, you could replace it with an ENBT one and address the replacement with a LAN applicable IP address, however, this modification has to be implemented not only physically but within the RSLogix 5000 project also.
Do you have any (other than DH+) communications means with the CLX?
If not, you will have to patch a RSLogix 5000 running laptop within the existing EtherNet/IP I/O-HMI network and Online edit the CPU running application file in order to reflect the ENET replacement.
Once the replacement ENBT is configured within the application file and patched into the LAN, then you will be able to browse to the CLX owner using an EtherNet/IP RSLinx driver.