This seems like an obvious answer to us. Gose’s line is .314/.355/.436 and Davis’ is .269/.350/.398. Two of the better hitters on your bench and you decide to play Hernan Perez (.061/.088/.061) and Tyler Collins (.261/.320/.304) instead?
Rotate Davis & Gose through DH and give Yoenis Cespedes and J.D. Martinez a break and platoon the four of them. This is a win-win boosting the lineup and giving your core outfield the continued day off they need.