rochknox in the southwest region of the good ole USA many homes use stucco as the exterior of homes because it is durable to heat and fade among other reasons, it also looks good. As such, I happen to have a neighbor that has worked and applied stucco to homes and buildings for almost 30 years. I consulted with him and he basically told me he a few minutes to spare so he came over and helped me with my base, scratch and top coats.
Base coat he used Quickcrete stucco base and using his trowel pushed in at a minimum 1/2 inch into the chicken wire, some areas still exposed wire and some were even wavy as you indicated. He said not to worry this will not be an issue. Because I was on his timeline, he came over 2 days later and applied the second coat (scratch) also 1/2 thick and got it all smooth and all the chicken wire was completed covered. He then used a masonry sponge got it real wet and got it all smooth from front to back and side to side, adding stucco where needed to eliminate waves. Last thing he did was take a rake looking tool of his trade and raked it all over creating these 1/4 inch groves in the stucco (aka scratched) it so the final top coat will have something to grip onto.
After a week he was able to return and applied the top coat after mixing in some powder color packet into the top coat mix and adding water. I will say when he applied it, the top coat went on alot darker then what I was expecting, but he mentioned it will dry lighter within a few days, and it did dry to the color I was expecting to see.
Being the pro that he is, it took him maybe 45 minutes to do all three coats (not including cleanup which was my job while he sat back and enjoyed a few cold ones). Trust me I am not complaining one bit. For his professional work I was out 1 twelve pack of beer, which I think I got the better part of that deal.