I have a similar problem. I can't open the eyes at all that time of the day so I just try to feel my way to the phone. Most of the time I manage to turn off instead of snooze and wake up a lot later. My solution was to put the phone with the screen down and slightly lift it so the screen protector opens upp. When it closes again, it activates snooze. Took me a few times to figure that...
Mine had what actually was a cool feature, and the only thing I've ever used voice commands for - you could say, "snooze" or "dismiss". Worked really well.
Then they took it away with an "update", so now I'm stuck with only the crap UI.
There's countless examples, but the one that really annoys me every day is when the alarms go off.
I have alarms to wake up in the morning, and on the alarm screen you have to swipe to dismiss, but to snooze you have to tap the other button.
Sleepy me has a lot of trouble remembering which one's which, even though I've done it probably a thousand times at this stage.
And even though it's a big 6.7" or whatever it is screen, they make the buttons absolutely microscopic.