Skullbriar has a special rule that gets around that, letting counters stay on Skullbriar when it goes to different zones
Following deck construction, you will play three Swiss rounds against the other attendees
Otherworldly Gaze If you count Surveil spells as self-mill (and I do, given how rarely you see triggers that care exactly how cards end up getting from your library to the graveyard), then Otherworldly Gaze is as good a choice as any for the most consistent, efficient, no-bells-and-whistles version of the effect
So if it gets triggered at your endstep (for example with Silversmote Ghoul), it wont be able to return right away, because it will happen after the beginning of the phase
For three mana you get to swing with a 3/4 creature three turns later, so watch out