For Wi-Fi outdoor, I've been trying Reolink. I actually have had one die and another one keeps resetting so I'm not sold.
I've heard Hikvision is good but they're more expensive and I haven't tried them yet. I also think they really care whether you buy it from an authorized retailer.
Well that's a crucial requirement. Should ping by default. Even if you can turn it on, I don't trust that they really put that feature first if it's buried in the settings.
I consider pinging a major cause of paranoia (see NextDoor), an invasion of my community’s privacy, and honestly I live in a safe area and insurance covers everything anyway.
https://www.synology.com/en-us/surveillance/feature/mobile
Synology + a cheap RTSP camera and it has all the features OP requires.
I bought a Synology NAS and I just added cameras on my home network in the web UI.
Does motion tracking, auto recording and the app rocks. It doesn’t ping me but I also haven’t looked for that feature.