I've always been careful enough on my own that I never miss catching one from a wild encounter!
Funny story though, I was playing with a younger family member, trying out multiplayer features in SV. You might know that the auto-battle feature will prevent your mon from battling shiny mons, as kind of an anti-frustration feature. However, the DLC just added the Synchro Machine, and they were having so much fun running around kicking stuff as Cinderace while I was checking out a Milcery outbreak...
It's hard to tell those little guys are shiny unless you look at their eyes, but I did confirm it right as it disappeared from the map :')