In which case you need to delineate your channels of access more clearly. Move your main communication to something more asynchronous (email, text, wechat/whatsapp, slack), set a time where things will be checked, and perhaps offer an emergency line over real-time messaging (phone calls fit the bill best).
Most things are not time critical, and a sizable portion of the things that are, are not mission critical.
This certainly applies to me. The workaround is to just let those close to you know that you'll be off the grid for a while but are still ok. Then you don't need to worry about them worrying.
Most things are not time critical, and a sizable portion of the things that are, are not mission critical.