Mingle good, flow bad.

I actually think "flomingle" would be better. It de-emphasises the less pleasant connotations of "flow" while getting closer to the "flamingo" connotation.

"Flamingle" on the other hand would only be good if it were a gay dating site.

It does make me think about drains, sewers, menstruation, etc.

Those all seem relative to the dating genre.

But really? That is what comes to mind?

Would be perfect for an anti-parasite laxative.