I'd put taxation in the same bucket as price control because for this to be effective the taxes would need to be on the rich (in effect to drain liquidity) and that's as likely as price control.
Inflation does have the risk of getting out of hand and being even harder to control. The risk analysis is that whatever pain increasing the rates would cause it pales in comparison to having hyperinflation.
As far as the lack of a pushback: My guess is a combination of apathy and the fact that it doesn't affect the average person quite as much as inflation.