All you can really do is try to educate yourself on different scenarios and deck-building choices in order to improve your odds of making the correct choice
Looking at other cards from the Gargoyle series, like Demona and Goliath, they appear to focus on hand manipulation

Aang and La, Ocean's Fury Aberrant Manawurm Abomination, Terrifying Titan Agatha of the Vile Cauldron Agatha's Champion Aggressive Mammoth Agonasaur Rex Akawalli, the Seething Tower Akul the Unrepentant Aloe Alchemist Altanak, the Thrice-Called Ancestral Anger Angry Rabble Ashroot Animist Atmospheric Greenhouse Attuned Hunter Aurora Awakener Avatar Kyoshi Badgermole Balamb T-Rexaur Ball Lightning Balmor, Battlemage Captain Balustrade Wurm Baylen, the Haymaker Beast-Kin Ranger Become Brutes Belligerent Yearling Beluna Grandsquall Bestow Greatness Biosynthic Burst Blitzball Shot Bolrac-Clan Basher Boom Scholar Borys, the Spider Rider Brako, Heartless Hunter Brightglass Gearhulk Bristlebane Battler Bristlebud Farmer Bumi, Unleashed Burner Rocket Burrowguard Mentor Cactuar Cactusfolk Sureshot Carnage, Crimson Chaos Case of the Trampled Garden Champion of Dusan Charging Hooligan Child of the Volcano Chizak, Apex Arachnosaur Chronicle of Victory Coliseum Behemoth Colossadactyl Colossal Rattlewurm Cosmic Spider-Man Crash Through Craterhoof Behemoth Crossroads Watcher Cuboid Colony Curse of the Werefox Darksteel Colossus Debris Beetle Decadent Dragon Demonic Ruckus Desecrex, Gift of Servitude Devouring Sugarmaw Dreadmaw's Ire Drix Fatemaker Drover Grizzly Druid of the Spade Druneth, Reviver of the Hive Dyadrine, Synthesis Amalgam Eager Trufflesnout

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In games where spell restriction cards like High Noon are in play, the person who can play a spell on the opponents turns and their own is at a distinct advantage