You sound just like me. When I first started Yasmin, I wanted my skin to get better ASAP, so I went through 3 straight packs. I got breakthrough bleeding almost daily after starting the 3rd pack, so I let myself get my period. Some pills are better for skipping periods than others. So now I let myself have a period every 2 packs and everything is fine. As to breaking out, I don't think I really broke out much worse than I did while I was taking the pills. For me, Yasmin pretty much just makes me less oily. It is hard to tell what role it is playing in my breakouts because I am also on Accutane now.
You know what though? I remember that when I began supplementing with flax seed oil I seemed to break out less before getting my period. I wasn't on the pill at that time, but it might help. There is also an herb that is supposed to help premenstrual breakouts.. I want to say black cohosh, but I am not sure that is it. You could do a google search and find out though. You're going to have to get your periods sometimes on Yasmin anyway, so don't stress too much about what it might do to your skin...
If it's worth having, it's worth fighting for.