WeatherLink.com provides the ability to send alarms to your phone via email based off of set parameters for a weather station, but you have to have access to that weather stations account on WeatherLink.com in order to set this kind of 'alarm'. In other words, you have to be the owner of the weather station with the WeatherLink.com login credentials.
I use the feature for a few of my sensors, which I have send email notifications directly to me if the temperature on a specific sensor either drops below or rises above a certain parameter I have previously set. It is a great feature.
Knowing this, I'd say sadly if you are to go this route you have one of two options. Either you'll have to purchase and install a personal weather station yourself in your yard and set up a WeatherLink.com account for it (which means you'd have to buy a Davis weather station), or see if the weather station down the street from you is by chance a Davis that is uploading to the WeatherLink network, and if so, somehow reach out to the station owner to see if they can enter your phone number into their alerts panel and set the temp threshold to whatever you desire so that you get the desired notification when you want it. This latter option doesn't seem feasible though if you don't know this particular 'neighbor' well (because you'll be giving them your phone number, etc.).
Like I mentioned, it is a pretty neat feature that Davis offers through their WeatherLink online platform, but its definitely easiest to use when you own a Davis weather station and have it uploading to WeatherLink.com which will allow you to utilize this feature.