Certainly there's a way around it, as you wouldn't take a vacation and leave yourself locked out of social media (though it's a good idea).

I don't take my American simcard overseas, it's useless and I don't want to lose it.

Also, frame your vacation as a "getaway from technology."

Partner that with a candybar phone -- which you're going to buy a SIM card for in your destination country -- and you have a perfectly reasonable story.

At least I hope it's reasonable because it's what I've been doing for almost a decade

So what? They can still hold you for hours and then deny you entry.

5: Don't visit the USA. It's not compulsory to suck America's arse, you know.