Any tips for polishing plastic dial covers?

[Dubis7]

I'm looking to take a crack at a GE 416 radio. This is actually a project I did years and years ago, so it works, but apparently I used the wrong kind of capacitor (ceramic disc) and the soldering work generally isn't up to snuff (I'm sure there's more than a few cold joints, this was my first restoration project so I can do much better now.)

Anyway, one of the problems I'd like to address is the clear plastic dial cover. It's foggy, with some scratches, and I'd like to clean it up. I'm considering using some Novus, but I'm not sure that's the best material. I can provide pictures if necessary, but just picture the sort of clouding you see on car headlights if that helps. Any thoughts on products or tools that would be worth looking into?