Is Shove ever worth it over Trip (Weapon trait)

For more context, I'm thinking of playing a centaur barbarian which means with the practiced brawn ancestry feat I can get +1 to athletic checks to shove and any succesful shove is a critical success.

Despite the potential for cool Trip just seems better though? it targets a save which most monsters are worse at than fortitude, also steals a movement action and puts the enemy off-guard until their turn. Is there something I'm missing or is trip just a better option every time that doesn't involve a convenient cliff or river of lava?