Trashed Up Barbecue Turkey Pizza

olive oil or neutral oil with a high smoke point like grapeseed (not extra virgin, peanut, or canola, divided)

batch of dough from The Best Pan Pizza post

shredded or cubed leftover turkey

barbecue sauce

shredded mozzarella cheese

shredded Pepper Jack cheese

shredded Cheddar cheese

fresh cilantro leaves

sliced black olives

pickled red onions

slices or cubes of ripe avocado

thin slices of fresh jalapeno peppers

thinly sliced green onions (scallions)