I think the best model at the moment for funding journalism is to allow people to contribute part of their tax contribution to a news organisation of their choice. Then the only cost you would incur is the effort of filling in a form. The news organisations become responsible to the population instead of advertisers whilst some sort of market forces remain. Effectively you'd be saying to anyone who contributes taxes "here's $100 dollars, which news organisation do you want to support".

Effective journalism is important to a democracy and it should be funded in as democratic manner as possible.