Oh, I adore Flynn, one of a few names I can picture on both alike.
I think Faye is nice aswell, it's my sisters middle name (along with Flora).
At first I thought - oh no, Flynn and Faye are way too close! But on second glance they fit quite nicely. The sounds are different enough but it's the initial and the repeated y that make it look matchy.
So it depends how much you like names to be matchy.