help please!

Hiya,

so I've had this melody for flute stuck in my head for quite a while, and I've been trying to find the right piano accompaniment to it but as I don't play piano nothing I come up with sounds quite right. I think I want to go for something fluid, flow-y, kind of cyclical (broken chords) but not sure how to write it out. Help much appreciated!

https://imgur.com/a/3xSZpGM (score, with basic chords outlined)