I'm not saying you can or cannot experience such withdrawals, I've gone through them myself.
However, to alleviate this:
You just need to have an array of activities you can do instead. Take a walk, a bike ride, go to the bandshell and watch a live performance. Go downtown and check out the Farmer's Market.
I don't know how many (if any) relate to you, but they're worth checking. Pretty much ANY town you're in (bonus for big cities like Chicago, Detroit, Knoxville, Nashville, etc.) will have a community events board,
Even if you simply disavow or don't acknowledge my suggestion, then I suggest a good friend of yours download a shit load of TV shows, animes, cartoons, games, (and then give them to you) that will keep you busy until you have back the precious, glorious, internets.
When I didn't have the interwebz. I drank myself silly, and watched every episode of Nartuo, and more than half of Shipudden. We...you...anyone...doesn't need the constant internet. It's been done before, and will be done again.
gl, my friend. hf, and certainly, dd.