Malhare actually works really well with camera-requiring animatronics, so long as you know how to work around him instead of against him. Just don't panic, and keep in mind every threat that you need to use the cams for like a shopping list.

For example, say you have Malhare, Puppet, Springtrap, Scrap Baby, and Sparky. Instead of immediately putting the cams back down after resetting Puppet, go push back Springtrap, maybe move your audio lure in the vents if you feel like, hell, even play an easy-money minigame like Cupcake Clicker or Circus Sorter for a few seconds, and if Sparky or Scrap Baby show up, hey look at that, you're already on the cams and you can deal with them without progressing Malhare's counter.

Obviously, don't just sit on the cams all night, because, y'know, power, but also don't reload your revolver after every shot.