Whisk together the flours, milk, 3 eggs, melted butter, a few pinches of sea salt and a drizzle of sweetener. Whisk until completely smooth. Let batter rest in the refrigerator for a couple of hours.
Melt the remaining 2 tablespoons butter in a small pot or dish. Heat a crepe pan or a 10-inch skillet over medium-low heat. Brush the pan with some melted butter using a pastry brush and add a scant 1/4 cup or medium ladleful of the crepe batter to the pan. Immediately swirl the pan to coat it evenly with the batter. Cook 1 minute then slide a thin spatula carefully underneath and flip the crepe. Cook a few seconds less on the second side then transfer to a plate. Repeat to make 8-10 crepes.
Heat a drizzle of EVOO in a skillet over medium-high heat. Add ham and warm through then add asparagus tips and cook to tender-crisp, 2 minutes more. Transfer to a plate.
Beat the remaining 8 eggs with 1/4 cup milk, salt, pepper, chives and mustard. Add a dab of butter to the skillet and scramble eggs over medium-low heat to desired consistency. Slide reserved ham and asparagus back into the eggs to combine. Remove from heat.
On each crepe, place some egg mixture, some cheese and roll up the crepes. Serve 2 crepes per person with salad alongside.