Buster Blader the Dragon Destroying Swordsman is all you need to stall Kaiba. With all of Kaiba's significant monsters being Dragon-types he won't be able to get over Buster Blader's attack boost. Effects that can harm you, like Blue-Eyes Alternative White Dragon, will be negated by Buster Blader the Dragon Destroying Swordsman.
Use Draw Sense: Light to search Buster Whelp of the Destruction Swordsman. Then Normal Summon it to search Destruction Swordsman Fusion.
Do not activate Ledger of Legerdemain until Destruction Swordsman Fusion is out of your deck.
Emblem of the Dragon Destroyer searches Buster Blader which you will need to make your fusions.
Ledger of Legerdemain, Shard of Greed, and Jar of Greed will be used to thin your deck.
Fusion Summon Dark Paladin at any point in the duel after you summon Buster Blader the Dragon Destroying Swordsman.
Do not attack with Buster Blader, the Dragon Destroying Swordsman. Instead you can attack with Dark Paladin so Kaiba summons more Dragons to boost Buster Blader, the Dragon Destroying Swordsman.
During your final turn, summon Gravekeeper's Vassal and use 2 Union Attack and H - Heated Heart on him.
Heated Heart can help Vassal to deal piercing damage. Since there's no need to attack directly, Krystal Avatar becomes useless and that's why you don't need AMM or Hey Trunade. And as you can see, there's no Secret Pass to the Treasures in this deck.
But yeah, if you don't have Heated Heart, you can use Secret Pass to attack directly, just remember to bring an AMM or Hey Trunade.