Superbundling (e.g., a single fee providing universal access), a universal content tax, and/or a fee assessed by ISPs (if at all possible indexed to typical household wealth within an area) strike me as far more tractable options.
Among the elements of a tax-based system is that there are in fact multiple taxing jurisdictions, and access might be spread amongst them, and through multiple mechanisms. Public libraries already exhibit some of this, with funding being provided at the local (city/county), state, and federal levels, as well as other aggregations such as regional library coalitions, academic institutions and districts (particularly community and state postsecondary institutions), and others.[2] There's also the option of indirect support, which is what mechanisms such as mandatory legal notices entailed: a jurisdiction could require public posting of various sorts (fictitious names, legal settlements and actions, etc.) which effectively require private parties to pay for the upkeep of a newspaper. Similarly, discount "book rate" postage was a distribution subsidy offered to publishers of not only books but newspapers and magazines within the U.S. That's less an issue given the Internet, but the spirit of that idea might be adopted.
The idea of local papers which can rely on some level of multi-jurisdictional tax funding, perhaps some charitable or foundational support, advertising, subscriptions, obligatory notices, bespoke research, and other funding sources would give multiple independent funding channels which would be difficult to choke off entirely. That seems far healthier than the present system.
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Notes:
1. My own argument, and numerous citations to both pro and con views, is "Repudiation as the micropayments killer feature (Not)" <https://web.archive.org/web/20230606004820/https://old.reddi...>, based on a six-year-old proposal from David Brin which has gone ... precisely nowhere.
2. Yes, I'm aware of certain issues concerning library texts in recent years within the U.S. I'd suggest that the fact that those debates are ongoing rather than settled either way means that overt control isn't completely straightforward.