Yeah, it's a weird market these days. Even Arrow and Aquaman can't carry books anymore.
Seems like DC only gives us the League and Squad for regular team books, with a semi-regular attempt at some version of the Titans, and the occasional attempt at some other random group. They can't get JSA off the ground at all, Young Justice ended after what, barely a year? Legion didn't even last that long I don't think? No word on any Birds of Prey title.
Hard to put characters like that in other team books when there are no other team books. But there's still options. Backups. Supporting cast roles in solo titles. The character/s could join one of those doomed-to-be-short-lived team titles. Point being, as long as a character doesn't join the League and then go back to a "lesser" team, any shift or movement won't be seen as a demotion.