Yeah, you could just get a different kind of case to put them in. Not tacky, but responsible.
And you do need to take them at the same time everyday. Maybe not at exactly 10:05 but it is important to at least take them within the same hour or two. I may not be a nurse, but my best friend is and also, my doctor would not lie to me.
It is very responsible to take them at the same time. If it was not important then doctors, nurses and pill manufacturers would not say anything about that! I think that you are being very mature and who gives a hoot if someone sees your pills! Maybe your responsability will rub off on them!