I would have to agree with everyone else, i've stayed in Roda and i think it has what you're both looking for... It's not too loud, but you can still have a great night out, nice beaches, nice restaurant, not too expensive and it's a good base for the rest of the island.
Like anywhere else, keep a hold of your drinks, unfortunately this is a pre-requisite even at home, but as long as you look after one another and are (fairly) sensible, you should both have a great holiday!!
I would certainly stay away from places like Kavos, which is at the very south of the island (Roda in the north), the fact that it was featured in the programme Club Reps, speaks for itself
Hope you have a great time