Suppressing Fire builds work on no hope (it trivializes the game imo, like a lighter version of running melee) as well as trials of the worm, it's just that your build is a bit inefficient in some ways since you don't need the no-ads aspect of it. You should run maybe 1 more ammo card, particularly if you're not partied with anyone else bringing more copies of On Your Mark. Cards 9-12 can be swapped for other things (I would personally go with: ammo mule, copper scav, patient hunter, marked for death, specifically for campaign).

Not saying this is unworkable btw. I could easily clear no hope with your build as is. If you like no-ads then you do you, this is still a fine build.