You can use a transistor for this. Drive the base of an NPN transistor from your signal source via a resistor to limit base current (about 250 ohms is right), ground the emitter, and hook the collector up to the keyboard encoder input. Same function as a relay with no moving parts. You might well need a transistor to drive the relay coil, anyway.
If you've got a GPIO output from a microcontroller (sounds like you do for driving your relay) and the logic levels are compatible, you can just hook the output from your signal source up to the input on your keyboard encoder. I'd recommend a series resistor of about 100 ohms to limit the current in the event something "weird" happens, but it's not required, and I suspect the Keywiz already has one (it's good practice in this application).