Nationalization is also a potential and underrated part of the toolbox.
A nationalized-health-care system could be a huge lever on inflation. On a basic level, it would enjoy near or full monopsony status on many products and labour categories, so it would be easy to say "our reimbursement rates rise 2% per annum, and if you want to sell ANY product, you'll take it and like it." An even more aggressive process could take medical education and supply production directly under a state umbrella, further reducing market pressure for ever-growing margins.
Similarly, a "free state universities for all" program could come with strict restrictions on program costs to clamp down on spiraling costs.
Other forms of state intervention-- subsidized goods, for example, or even WWII-style ration books-- could help to mitigate the negative consumer-facing effects of inflation. You might have to pay $100 per kilo of ground beef on the open market, but if we had a functional ration system, everyone still gets sufficient coupons to have a hamburger once or twice a week. If the only things you need "dollars" for are luxury nonsubsidized/nonrationed goods, then the dollar can crash and burn every few decades with minimal quality-of-life impact.