In the bowl of a stand mixer fitted with a dough hook, stir together water, honey and yeast. Allow to ferment for 6-8 minutes.
Stir in 1 1/2 cups of flour, olive oil and salt. Begin kneading, allowing all the flour to be absorbed before adding more. Add additional flour gradually until dough is soft, subtle and no longer sticky to the touch, about 8 minutes. The exact amount of flour will vary.
Lightly coat a large bowl with olive oil. Shape dough into a ball and place in bowl. Cover and allow to rise in a warm, draft free area until double in size, about 1 hour.
Slice prosciutto into 1/4" strips. Heat a non-stick skillet over medium-high and cook prosciutto until crisp, stirring often. This will take 8-10 minutes. Remove to a paper towel-lined plate.
Preheat grill to medium.
Cut the woody 1-2" off the bottom of the asparagus spears. If they are thick spears, shave the bottoms lightly with a vegetable peeler to make them uniform in width. Rub spears lightly with olive oil and season with salt and pepper.
Place asparagus directly on grill against the grain of the grills. Grill for 4-6 minutes until crisp-tender, turning once or twice. Remove from grill and set aside.
In a small bowl whisk together 1 tbsp olive oil, lemon juice, basil, salt and a few grinds of black pepper. Cut asparagus into 1" pieces and toss with a drizzle of lemon and oil, saving the remainder for finished flatbread.
Deflate the dough by kneading 3-4 times and divide the dough into two portions. Cover lightly and allow the dough to rest for 10 minutes. This will help relax the dough and make it easier to flatten. Spread and press one portion out to an approximate 13"x8" rectangle on a flat, movable surface like a cutting board or back of a baking tray.
Peel dough off of surface in one motion if possible and lay on preheated grill. Spread out corners slightly if possible. Close lid and cook for about 5-6 minutes until golden and crisp on the bottom. The time will vary depending on your grill and heat setting. Poke any large air bubbles and flip dough over.
Immediately scatter on half of the asparagus, prosciutto and crumbled goat cheese. Sprinkle with 1/4 cup of parmesan and close the lid. Allow to cook for 3-4 more minutes to warm toppings and finish cooking the dough. Remove to a cutting board and cut into wedges. Drizzle with remaining olive oil and lemon juice and serve immediately.
-The dough will shrink up some when transferred to the grill, there's no stopping this, don't fight it! I can usually grab and stretch out a couple corners once it is on the grill, but once it's on I don't mess with it much.
In a small bowl, whisk together mayonnaise, vinegar, sugar, wasabi, salt and pepper. Cover and keep chilled until ready to use.
When ready to assemble sliders, toss cabbage, green onion and grated carrot with dressing.
Slice chicken breasts in half horizontally and then cut each half into half again, getting 4 pieces (each being about 1.5 ounces) out of each breast. Place the chicken pieces between two pieces of parchment or wax paper and pound with a rolling pin or flat side of a mallet to 1/4" thick.
Using 3 shallow bowls, to the first, add the flour, salt and pepper and whisk to combine. To the second, add eggs and water and whisk to combine. To the third, add the bread crumbs.
Add several chicken pieces to the flour bowl and flip around to coat. Shake off excess and add pieces to egg bowl. Using a fork, flip to coat with egg and place in bread crumbs, turning each piece and patting gently to adhere crumbs. Place breaded portions onto a clean plate or wire rack and repeat breading procedure until all pieces are done.
Add enough canola oil to a large skillet to just start to cover the bottom. Heat over medium high until hot. Add breaded chicken to pan, being careful not to overcrowd pan. Cook for approximately 2 minutes per side until golden. Remove from pan to a paper towel lined tray to dab off any excess grease and then to a clean plate. Keep warm in a low 225℉ oven while remaining cutlets are fried. Wipe out pan with a paper towel to remove excess crumbs that may start to burn prior to frying more cutlets.
Slice slider buns in half and brush lightly with butter. Wipe out skillet with a paper towel and place slider buns buttered side down in pan and heat over medium until starting to brown and become warm. About 2 minutes.
To each slider bun, add a chicken cutlet and top with a generous amount of wasabi slaw. Secure each slider with a long toothpick if desired and serve immediately.