Benzo will help with fog. The problem, though, is it completely changes the development time. Unless you've done it with that film, that developer, and that amount of benzo before, you won't have any idea how long to develop the film. Plus, if you extend development too much because you don't know how long to use it for, the fog will build up.
HC110 is a good choice. Rodinal would also be a good choice (1:25 - not stand). If you want lower fog, don't use an MQ developer.
If you're willing to unroll the film before you expose it and cut off the first exposure (retape the end), you can expose that single exposure in a camera, cut it in half, then you'd have two strips you can test for proper development.