I'd imagine a simple device that broadcasts noise or fake signals would be enough to throw it off. Lots of principles used in speed trap jammers could be used.
Run Ethernet throughout your home and hardwire 100% of everything. Disable all wireless radios in your house. That will stop your own gear from being used like this, but unless you turn your home into a faraday cage someone could probably blast your home with 2.4GHz externally to achieve similar results. If as you mention, perhaps you had some kind of suit that is completely absorbent to wireless spectrum, though that in itself could be used as an identifier most likely.