I have a Diva cup, and also I use reusable pads: http://partypantspads.com/ and they're AWESOME. i think a few women have had great success with wearing the reusable pads on the bike...super comfortable if you can arrange the little snap around your girly stuff

also, there are these things called instead: http://www.softcup.com/

I've used these, but they're not reusable. Despite this, I've had really good luck with these on long travel since they claim that you can wear them for 12 hours with no problems of TSS.

Good luck!