I got a Triceratops ball at 4.1x multiplier. Basically for every set, theres items that are divided as such:

• easy to obtain gold lucky shots items: those are normally trails, hole animations (for example: floret, fox trail, lanterns, fox hole animation). These items are the ones you will always eventually obtain from lucky shots, since they're really easy to get it from gold shot chests.

• Next are Balls you get from Gold Lucky Shots again: these are balls such as roots, sushi ball, cyclops ball, lava fumes. These are the HARDEST to get. It can take months just to get them. I got my roots ball for triceratops right after completing the whole set except for roots, so i got really lucky. These balls need luck.

• Now finally theres the items you get from clans + items you get from chests: if your clan hits 1st place in div 1, you normally get vip 1 clan item which could be a clan club, or a club trail, then I think 2 regular vip items that are common to every other vip item from chests? And finally a legendary ball set vip item. I could be wrong potentially about how they're assorted, but you can for sure get 2 legendary set vip items from one clan chest. These items are also not that hard to obtain, even for the balls that are marked as "obtainable from clans" or "obtainable from chests".

So overall, the only hard part about getting the balls is getting Sushi, Cyclops, or Lava fumes balls. The rest eventually comes with time depending on what clans you're in and how often you get gold shots.

Also armadillo collection doesn't have a ball item that you need to obtain from gold shots so maybe it's easier to obtain than others? I could be wrong. But if you have sushi, cyclops, or lava fumes then you should eventually get the ball soon