I do not think you will be able to use remote front panels for this application. There is no way to input the voice into the web browser running the panel.
You might instead consider writing VIs that communicate over the internet. It is not as flexible as the remote front panels but it gives you a way to access the local hardware (like the sound card), transmit to the server, and recieve information from the server. Of course, you could just put the voice processing code completely into the remote application. Good luck with your project.