You're never going to have a true neutral site. Even the ACC tournament is played next door to Duke, UNC, NC State and Wake. That puts teams like Miami and Boston College at a disadvantage. These tournaments are all about publicity and attendance. It's easy to convince people to travel to Myrtle for a week in March. The food is terrible but USUALLY the weather is nice and you can't possibly play enough golf.
Point being, winning these conference tournaments means very little. Congrats to Coastal but they're going to be a 16 seed and get their butts handed to them by UVA or Duke. No team from the Big South is ever going to make a serious run at the National Championship. If you want to do it the fair way, copy the IVY league and just forgo a conference tournament altogether.