You can achieve what you want; but the solution is a little techie. You do NOT need an internet connection.
Instead, the signal will be sent through the airwaves using Amazon’s “Sidewalk” network. As long as you have a neighbor within 1/4 mile or so of you with a recent Amazon device (like a Ring doorbell) you can use this network for free. The Amazon Sidewalk network now covers 90% of the USA and that includes The Villages.
You need one of these devices:
Amazon.com
This device has a temperature sensor built in and can alert you when the temperature exceeds a threshold. You would also need a device like an Amazon Echo 4th gen in the home that you are monitoring temperature. Please note: Normally the Amazon Echo requires an internet connection. But in this case, it will be working in “Sidewalk Bridge” mode and ONLY needs AC power. It will be sending radio signals to other nearby “Bridges” to send your temperature signal.
More info here:
https://www.amazon.com/Amazon-Sidewa...de=21328123011
The Amazon reviews for the sensor is not very good. But that is because they were trying to use it without a nearby Bridge. That is why you need and Amazon Eco 4th gen or latest Ring doorbell as your bridge