The JDS-050 and JDS-055 boards are the same. In a pinch you can also use a JDS-040 board, it just has the connector on the opposite side is all.
Those DS4 boards aren't the greatest things to go hunting down issues on even on a good day. I haven't had enough failed ones come across the bench here either to really point in even a general direction. If the controller will not connect over USB to anything then you can spend the time tracing the USB data lines out to see if everything there is intact, or just consider the thing a parts controller. If it's not charging there could be several things to mess with there and none of them easy as most everything battery wise is controlled by a PMIC on there and the MCU controls it.