3 options

add a timer that controls the outlet. you have to set the timer 1,2,4,8 hours and then turn on the heater. heater will turn off after set time.

I have done this with my infrared heaters in my deck ceiling. but have the timer controlling power to z-wave dimmer switches. I didn’t want them on all night if the kids forgot to turn them off.

option 2 is a z wave plug that detects current and automatically shuts off after a set time.

option 3 is a zwave plug and have it set to turn off at say 10pm every night. I do this with my heat tape.

buy any ip based camera. use no-ip.org (I renew every month and don’t pay a fee). then use tinycam app to view for free.