Poker,
online poker and real life balance is important.
I don't have this problem. I have wife, step-kids, a job and a number of other hobbies. I wish had more time for poker honestly.
My advice which you should take 110%. Get away from the game for awhile likely at least a few months. I'd suggest get out, get a life and start enjoying it.
^With that said I'd still make time for studying weekly or bi-weekly. Just because you're on a break doesn't mean you can't work on improving you game at least in my opinion experience. 2-3 hours week isn't much.
Now the question will be when to return to playing. Honestly can't answer that for you depends on you and how bad your burnout is. I mentioned above at least a 2-3 months. That's what I'd aim for to start as a goal in my mind. I'd review that goal in 2-3 months. How I felt and how much I have think I've improved/learned from studying over that time would also weight into the decision. But I'm still not feeling it then add another month and review then. Rinse and repeat.....in the end you'll just know when you're ready mentally to come back.
Once back the challenge then is to keep a good poker and real life balance so you don't get burnout and don't need to take a break for months. This is something else you can work on and think about while away from the game. Figure out schedule for yourself.
In my 20 years experience the best and most profitable days to play no matter what you play or site you play on are Thursday-Sundays. The worst days are Mondays-Wednesdays. If I had the choice I'd play cash tables Thursdays and Fridays. Why? Those are most peoples paydays. Recs who just get paid love to throw money around and away and can't wait to home to get to the tables.
Saturdays-Sundays have all the major MTT's and when most everyone is playing cause people have weekends off. If you're not an MTT guy more cash tables it is.
Mondays-Wednesdays are days off except for a couple hours of studying.
^Sadly I don't get to choose my schedule. But that's the best most profitable schedule to play.
Best of luck enjoy the small break, get refreshed and get a good schedule figured out so you don't burn-out.
Cheers!!!