A number of years ago, I was taking birth control pills, and the doc told me I could skip the last week of pills (apparently, they had no hormones in them), start a new packet immediately, and thereby skip the period. I was told to do this for a few months and then take all the pills in a packet so that I would have a period a few times a year. I was desperate to stop the red death, so I did it.
I've heard that there's one particular BCP designed for four or five periods a year. It has a stupid name...can't remember it. Someone else will know. It's available in the U.S., but I'm not sure where you are.
Anyway, if you don't mind stopping the shots, pills can give you options.