Utilizing domino resonant inductive power transfer (DR-IPT) system embedded in disk insulators to energize monitoring systems for transmission lines has been recommended in this century. However, presenting the external metallic objects (EMOs) in the volume encompassing the involved coils will affect the electromagnetic field and induce eddy currents. This research has specifically focused on and provides a new solution to overcome this issue. The solution proposes a new electrical circuit design, modeling, and analysis, and employs numerical metaheuristic optimization techniques to tackle the issue, and verifies the entire approach experimentally over a 63 kV transmission line model. New electrical circuit parameters (ECPs) in the presence of EMOs are obtained, and analytical equations for air-core Archemidean magnetic coils' ECP calculation are provided and experimentally verified. Moreover, a comprehensive independent design parameter (IDP) specification method is proposed, and a multi-objective function is defined to meet design objectives simultaneously in the presence of EMOs taking into account the inequality constraints. The system-level impacts of the EMOs on the transfer performance of the DR-IPT are also discussed, analyzed, and optimized, and the (system-level) accuracy of the proposed design method is discussed and experimentally verified.