We find animals in our touch tank programs get stressed at about 60 degrees. Below 40 and they pretty much stop moving, but snap to when the temp comes back up. Heat is much more deadly.
If you have strictly intertidal animals, you could get away with temporary swings of 80 degrees, mimicing the low tide on a hot day, but you have to mimic the cool influx of water on the incoming tide too. I would let them get to 80 for more than an hour and that is really pushing it. Most fish cant handle that much of a swing.
Here in Puget Sound, it is not uncommon for the water to be 55 degrees, at high tide, then 80, then 55 again.