I used this recipe as a baseline, as I love aioli. I think everything tastes better with it. (I am not going to argue about aioli like many have done, or tell you that these look tasty, and I MIGHT make them.) I made these, and they were wonderful.
I had everything on hand, but the bacon. So, I omitted that, and added a little onion and avocado. My chicken was shredded, so I used that, so that I would not have to buy more. It was a quick and easy dinner, that is requested time after time. I had forgotten that bacon was in this recipe until tonight, when I was looking up a different recipe. I've never tried it with bacon, but, will soon. Hot peppers, well drained pickled veggies, slaw, grilled fish, etc, all work well as additional add in ideas. The aioli with fish, slaw, cilantro, jalepenos, tomatoes, lettuce, and lime juice (instead of lemon) is Mom's favorite. It does not matter if you use a wrap, flavored wrap, puta bread, or tortilla for this recipe. All work wonderful. As an aside, we favor the flour tortillas over the corn ones. The corn ones can overpower the taste, plus, they crumble easier, and are not good if any drop of liquid hits them.
To go Greek, add cucumber, cumin, dill, and feta to the aioli, and let it sit overnight. Then, make the sandwich as instructed, and add more cucumber slices, and a little more feta.
Word of caution: I do not like sweet foods, but Miracle Whip was all that my parents' had when I was making it there. The sugar in the Miracle Whip was way too overpowering. I am sticking to mayo!