This is a tough one; I'm not sure it can be done.
The 1761-NET-ENI has a table of DF1 Node/IP Address equivalents on the "Message Routing" tab of the ENI Utility.
It can deliver a message to an SLC-5/05 or PLC-5E or MicroLogix (Nodes 1 to 44), or it can deliver a message to a ControlLogix in Slot 0 of a 1756-Chassis (Nodes 45-49).
CompactLogix or FlexLogix targets will work the same as ControlLogix in Slot 0 because they are in Slot 0 of their internal backplanes.
Unless your 1756-DHRIO module is in Slot 0, I don't think the 1761-NET-ENI can send this data to it in order to have the DH+ message executed and have the reply returned over EtherNet/IP.