Hi there, @Keymaster! Good news, you can definitely accomplish this with integration through the Ring Alarm and the Amazon Alexa app. What you will need to do first is link your Alarm with Alexa Guard, and then create a routine based off of Alexa Guard going into Away mode to then turn a switch on or off.
For example, once it’s paired with Alexa Guard, you would need to create a routine that says “When Alexa Guard goes into Away, turn on my switch.” Please be aware that this would not work for Home mode, which should be fine since you said you don’t want them on when you’re home!