I'm not dancing, and my ideal is to get a string trio. I know some wonderful musicians that might be willing to do it. I've also seen people do special musics, like one of the groomsmen plays guitar really well so we might get him to play a song, or get my aunt who is a pianist to play and sing a love song. Kind of blend speeches in with special songs. My ideal would be to mix some classical with some modern songs. I love some arrangements by The Piano Guys, and most of their music is around $5 to download which isn't bad. I'm really eyeing their arrangement of Anyone by Justin Bieber as a modern song. Or we'll use that as a walking out song.
I like the sound of it. I’m like you, so we’re skipping the traditional dances. We do have a DJ but we’re not doing much of a dance floor area either. DJ is more for the ceremony and background music. Do whatever makes you feel most comfortable!
I completely agree with Amanda, do exactly as you wish
However, just be mindful that people may not know how to react and or leave early? Will it be open for people to ballroom dance to the classical music? or no dancing at all? I personally love dancing at weddings and can only listen to so much classical music so I may be one to head out early BUT that is just me, depends on your crowd.