Preheat oven to 350°F
Lightly grease a large roasting pan with one tablespoon olive oil and set aside
Heat 2 tablespoons olive oil in a large pan over medium heat
Add diced Poblano peppers and cook until the peppers soften and begin to develop some color, about 4 minutes
Add the sausage to the pan and cook, breaking into crumbles, until fully heated, about 6 minutes (reduce timing if using pre-cooked sausage)
Add goat cheese to pan and cover for 1-2 minutes
Remove cover and stir until the goat cheese is completely melted and well mixed with the turkey and peppers
Remove from heat and fill each mushroom cap with some of the mixture
Drizzle the mushrooms with remaining olive oil and season with salt and black pepper, as desired.
Place roasting pan in the pre-heated oven
Roast until mushrooms are slightly browned, about 12-14 minutes