Only to add, I use a common zip up admin pouch, which sits inside my bump helmet, when not in use. Since I typically don't use a bump unless it supports NV, the two are stored together in a helmet cave on my assault pack. Maybe this is a different SOP than what's being discussed here, but it works for me. If I'm carrying the large ruck to a patrol base, the assault gets d-ringed to the drag handle, and the main top flap gets closed over the top of it. The helmet and NV sits just past the top flap. The only time I'm not using a bump is when we're running ghillie hoods, then I switch up to a highly modified OC nitecap. If needed I would drop a padded insert into a sustainment pouch, as mentioned. And probably run a bladder to compensate.
I know when you finally buy your own you're like, I gotta potect these things, but then it turns out they're a lot tougher than you think. I don't worry about padding as much as I do sacrificial lenses. If anything gets fucked up, that's probably where it will happen. A couple of our lads from Crossfire went to Milsim-West recently. One took a pellet to the -14 which cracked his (sac) lens good.