The IFTTT channel isn’t just for Hue. The Alexa service/channel does have an “if” trigger when the alarm goes off and then you can use any IFTTT service/channel for the " that"–including SmartThings. So you can have the echo alarm going off turn on a virtual switch in the smartthings channel and you could have that switch coming on run a routine or a SmartLights automation and so do pretty much anything that smartthings can control, including turning on multiple lights. 
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If you haven’t used a virtual device before, You create it one time and after that it will show up in your list of switches along with all your other switches.
Or if you just want to turn on a single light switch, then just select that as the “that” in the SmartThings channel and you’ll be all set. 
