Combine the first 6 ingredients in a medium bowl. Cover and chill 2 hours.
Arrange 1 ounce of ham and 4 asparagus spears on each tortilla. Spoon about 1/3 cup cheese mixture over the asparagus, and roll up.
Note: These wraps may be assembled up to 4 hours in advance, though the tortillas will begin to absorb moisture if prepared too far in advance. Pepper ham is available in the deli section of most supermarkets. If you are unable to find it, substitute regular ham, and add 1/4 teaspoon freshly ground black pepper to the cheese as it marinates.