Manufacturers of pest control products have come out with a frequency device in the last few years that deters rats and mice from the area the device is. It would irritate their hearing and probably cause them to feel sick. I have heard that it is very effective in rodent control.
I am not sure what type of frequency a wireless connection uses, but I would not eliminate the chances that it could affect any mice or rats within a certain distance of it. I have never heard of anyone reporting having a problem with a wireless connection and their rodents, though.
I think that there would be no question of it bothering your rats after it was set up and going, you would see a clear change in their behaviour. I don't know if you want to try it out, chancing that you might have to replace it, if you don't find a rat owner who can give you the go ahead with it.
Sorry that I couldn't be more help, hopefully you will find a rat owner with a wireless connection.