It sounds like you may want to try the strapped versions of our products which will stay in place as you are looking for. Try Coobie bra 9042.
bmy from pa
Coobie Response: Thank you for the feedback. Coobie will take a look at the sizing on this style soon. The 9062 Lace Bandeau is a bit tighter so we're not sure why it wasn't tight enough on you.
Lu from Kaysville, UT USA