Coaches/clubs generally pick tournaments based around club history with a tournament, cost, location, general level of competition and date.
The REAL wrangling comes in when programs make scheduling requests the week before the tournament to get in a favorable bracket and avoid tougher teams in pool play. It's why the schedules change so many times the week before:
"We would like to play a team that we didn't face 3x this spring already."
"Any chance we could be in a pool with some new teams from out of state?"
And more and more...
It's not a accident that the teams who have parent companies that host the tourneys usually get decent draws. And generally the big clubs have more sway with requests because they are sending many teams to the tournament (and others). | 
