Weird. But do what you need to do, brother. I am the type that can follow a whole league and have little to no rooting interests initially. Thing is, if you approach it that way, something will grab you. A scrappy team or an inspiring player.
I love the whole NHL and have no real "team" but every year there are stories that grab me and by the playoffs I have rooting interests that developed naturally through the course of a season.
Even in the NFL when the Bears are shit, I found reasons to root for some teams due to factors I was inspired by.
If you really want to pick a name from a hat, ok. But consider what I said.