Regarding Erik Satie's Gymnopedies, the splitting of the parts works nicely. I tried it recently with a Flautist. So long as your accompanist is O.K. at deciphering the Piano part and doesn't get confused, the melody line has stems up anyway, I think, so that should be easy. One advantage of playing the 1st Gymnopedie like this is that you get to hold that tied F# in the melody through all the bars, instead of trying to "fake" it through with the piano.
Try the other two Gymnopedies too, as they are just as nice as the first more popular one. Also, try his 3 Gnossiennes, which are quite popular and work in the same way.
Another suggestion and other thing which can work out well, is to just try out other Violin pieces that you dont know....maybe previous Graded Examination Pieces that you didn't do before etc. Part of the pleasure of Music is discovering new pieces for yourself and not just the recommended ones. I understand that it takes a while to work on a new piece and you dont want to waste time on something you dont like, but sometimes you can unearth unknown treasures doing this. I have done this many times, with old books sitting on the shelf.
Good Luck and enjoy your duets!