Is there anyway to have non messy sex on your period?

I got my period today, on Valentine's Day.... just my luck!! And of course it's heavy. My boyfriend and I have a romantic evening planned and I don't want this to ruin it! I've worn the soft cups during sex before but he always says he can feel it... anything else I can try before we just accept that we'll have to be putting a towel down on the bed? Lol