Okay, so.... had a convo with people. I am going to run the tourney sometime in May after finals and school ends for folks.
The date will be set, and if someone's teammate cannot make it nor bothers to inform of said availability, there can be a substitution; further, if the team simply cannot play, I will invite the 3rd, 4th, 5th, etc placed team from the qualifier.
My own, personal availability, is quite poor over the next 5 weeks so it will be some time.