There are a lot of early tournaments, but still not enough that every team gets to go to one. Since we haven't heard anything by this point, I'd say we're not going to one.
Which isn't the end of the world. I'd be OK with a good road game or two that are essentially buy games. The only drawback to that is unless I'm mistaken, being in a tournament affords a team the opportunity for an extra non-conference game if they want it, right?
Yes, but Ohio technically is in a tournament every year. It's just that the tournament is more or less a scheduling agreement with a group of teams to play games at campus sites. In 2016-17, for example, Ohio was in the Global Sports Shootout, which included home games against Tennessee Tech, Sam Houston State and Southern and the road game against Georgia Tech. Four games, but it counted as three as a "tournament" that Ohio was the "champion" of, by the way.