Gillybob, have you seen that Chris Williamson has resigned from the Labour front bench as he mentioned a plan similar to yours.
"Williamson's resignation is connected to his recent comments about a possible plan to be launched in Derby to charge significantly higher council tax to owners of properties in the top tax band, in order to protect other residents from any rise. This was misrepresented by the Conservatives' official Twitter account as a large rise for all residents.
In fact, it was a very good 'for the many' idea designed to protect those who need it - and was in any case a local issues rather than party policy. The idea was also not news, having been announced in September."
Not necessarily for the NHS, but it could have helped with care.
"I stand by the idea, which was designed to make use of rules set by the government and aimed, supposedly, at giving more power to local authorities to raise their own funds and manage their own budgets.
However, the fake-news furore raised by the Tories meant I risked being a distraction from the important work that Jeremy has to do. I felt it was better to step down rather than let it drag on. I also hope to be focusing as a back-bencher on a couple of new issues around the environment."
Shame, really, as he's good.