If you're in your late 20s, then I'm only a few years ahead of you -- I'm now 34, and that's where I was in my late 20s too.
So for you, here's my real advice.
I own/run my own business, so late 20s meant growing and always-on business. Don't try to fight that, you won't win. Work matters, and it's rewarding, and that's the time in your life when you can really perfect your future because you've got the energy and will to do so -- and not too many hobbies yet.
Instead, focus on being able to run away -- all the way away.
For me, that meant co-ordinating with a fellow business owner, a friend. Now, 6 years later, we still do this. We never take vacations at the same time -- so we basically need to book our vacations with each other's schedules. We set things up like this:
Say I'm going on vacation for two weeks, which I'm doing in January to Disneyworld and the florida keys. Now my business and clients can't possibly have me vanish for two weeks. And any number of things could go horribly wrong leaving me with nothing but law suits if I were truly gone.
Now most people in my position would have a laptop, and check their e-mail, and be available through modern tools, and do about an hour of work each day, and say that they are on vacation when really all of the stress is still there.
Instead, here's what I'll be doing. I'll have the work laptop in a briefcase in the hotel room. But I won't look at it, and I won't touch it, and I won't wonder about it.
My e-mail will have a nice vacation-auto-reply saying that I'm gone, and if it's urgent, they can call be buddy who's covering for me. 90% will wait for my return. 10% will call for my cover.
He can do the very tiny customer service things. Beyond that, he has a way of reaching me, by phone, usually through the hotel or through my cellphone in my pocket that I otherwise won't look at. If something's truly an emergency that can't wait, he'll call, and I'll step aside from my vacation to walk him through whatever needs to be done.
The end result is that I don't spend every second of every day wondering if I've left my oven on. Instead, I've given that very task to someone whose job it is to make that determination -- emergency or not -- and to get in touch with me if it is. He'll be able to reach me at multiple points during my day, usually within an hour
His job is to decide and to reach me. My job is to swim with dolphins.
Over the past six years, we've covered for each-other about three dozen times. In those three dozen times, there have been four emergencies, total.
It's the always-on that's the stressful part in like from these devices. It's not the emergencies themselves.