Nothing wrong with Birkenstocks, but I wouldn’t call them cute. They certainly would look odd with the dress I recently bought to wear to the Cali Grill to celebrate with DH! (Anniversary.) Unlike @ryan1, I don’t go barefoot with my dresses. 
Here are the shoes I’ve ordered most recently to see if I could get my orthotics to fit in them:
Clarks Gracelin Maze Flat (I’d have to rip the current insole out, but that looks doable)
And the Toms Alpargata Slip-on (which should have a removable footbed, bonus!)
Wish me luck!