If you are getting rust on chrome, then the chrome plating has already worn off where the rust is. You are probably interesting in removing the rust after which I suppose you can wet it with FluidFilm and use that as a 'protection' of sorts. You will obviously have to reapply.
If you are lucky perhaps it is not rust. One of my old cars with chrome wheels I thought has rust, but it was just baked in brake dust inside pits. Using typical wheel cleaner and a microfiber cloth removed it right off, but of course, like yourself I wanted to use something to protect it. I ended just using spray wax. I thought of researching for better products but left it as is and became more digilent about cleaning. If I did it over again, I honestly would just use FluidFilm where the pits were.