zlacker

That's really dreadful, I'm sorry you even have to deal with that. Can you replace the router? Even the cheapest bottom of the barrel router from your local big box store should be able to get a response to you in under 5 ms pretty reliably. (I'm assuming your WiFi / access point is built in to your router.)

What model of router is it? This really feels like a situation where something has to be broken, I can't imagine any router, no matter how cheap, has an expected ping rtt maxing out at around 2 seconds. Notably, your minimum rtt is under 2 ms, so it's definitely capable of getting a response to you faster than that, maybe it's just overloaded or something?