Universal baseball is a baseball-like game for children with disabilities. Due to the COVID-19 pandemic, organizing this game as a face-to-face event became difficult. We developed a remote-play system for universal baseball using Raspberry Pi and Zoom. Using this system, players can remotely control the bat on the universal baseball board by watching a Zoom screen and clicking the button icon on the special webpage. We demonstrated that the proposed system could successfully implement a universal baseball remote game. Additionally, we developed an automatic streaming camera selection/switching system using an artificial intelligence (AI) camera to reduce the workload of operating multiple streaming cameras for remote players. After the relaxation of the COVID-19 restrictions, we conducted a face-to-face event to evaluate our system. We found a limitation in the use of the AI camera with a ready-made model. Nevertheless, the accessible user interface of our system was very useful for players with severe physical disabilities. We expect that this interface is also applicable to other adaptive sports. In this paper, we report on the development of our system and two demonstration experiments.