Switching my BC

Dude to a family history of blood clots I'm limited to an IUD (currently on third year of Mirena) or barrier methods. I've been think about using FAM to determine the level of protection I need. Like on my fertile days using a sponge and a condom and on the "safe" days letting withdrawal be my method. I absolutely do NOT want to get pregnant. I'm worried there's to much room for error wroth the latter option but want to free my body of hormones and have a regular cycle. What should I do?

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