Stephen,
I think the week before NAQT HSCT would be good timing, although you
have to be sure you're not conflicting with ASCN's tournament. There
may also be some teams that would rather go to New Orleans on the
week between ASCN and NAQT HSCT, so I think you ought to check with
them first. At any rate, I am presuming that HSCT weekend will be as
tentatively announced: June 8-9 weekend.
You should also check college and high school graduations as being
another complication to your plans as well. Then again, I think I've
told you all this already. :)