Agh, what a nightmare of a noise. There's definitely something weird going on there. Is it on everything?
I'm afraid, in my experience, something like that is impossible to totally eliminate. You can denoise and use a multiband expander (like Waves C4 or W43) to start with. It sounds like your dialogue is pretty well miked, so that helps you.
Beyond that, i wouldn't try too much with eq, as you'll cut into the dialogue. You could get into your volume automation and ride it as hard as you can. You then maybe cover the rest with a pretty broadband atmos track.
I'd seriously consider ADR, if it's an option. This interference is insidious in that it's broadband, contains a lot of energy in higher frequencies vital to dialogue, AND is made up of a whole heap of tiny transients.
Best of luck with it!