This deck can be easily hurt by Ash Blossom, so prioritize searchers based on what you can afford to lose to bait out Ash Blossom if you do not have Called by the Grave available. Being able to send Fraktall, Kitt, and Nervall to the GY, but not add Kerass can still be useful since you are adding materials for Tri-Brigade Link Summons. Tri-Brigade monsters can also summon Gladiator Beast Dragases, allowing you to summon additional Gladiator Beasts, either through Dragases's own effect or by using Test Tiger.
You can use your first Augustus to summon a second Augustus, who can then summon a third Gladiator Beast. Tamer Editor's effect to summon Fusion Monsters is only once per turn per copy, so you can summon a second Tamer Editor and summon a new Fusion Monster. If you cannot summon both Heraklinos and Domitianus, the early turns of the duel will likely depend on which one you choose, depending on whether you are more concerned with monster effects or Spells and Traps. Discard costs for Heraklinos and Twin Twisters will trigger Nervall and Kitt's effects, making them viable to keep in hand for the next turn.