Germany solved that issue by making owning any device capable of receiving internet broadcasts part of the eligibility criteria. By that point they could just as well make it part of general tax budgets...
The Rundfunkbeitrag is applied per household, not based on devices, and it's up to each person to either pay the tax or justify to the Beitragsservice that they don't need to.
Yeah, it's a pretty shitty system and I wish we would get rid of it. Don't have high hopes of that happening anytime soon though.