A regulated gaming system includes game-logic circuitry, an electronic display device, and an electronic input device detecting a physical item associated with a monetary value to establish a credit balance. The gaming system performs a casino wagering game initiated by an input indicative of a wager covered by the credit balance. The casino wagering game comprises a base-game feature and a bonus-game feature having a skill-based feature and a non-skill-based feature. When the bonus-game feature is triggered, a player participates in the skill-based feature and a set of configuration options is determined in response to input selections made by the player. The non-skill-based feature of the wagering game is customized using the determined set of configuration options. A resultant wagering game outcome is determined from the base-game feature and the bonus-game feature, and a credit balance is adjusting accordingly, prior to a cashout of the credit balance.