In Long island you can either play in the Commack tourney or the Massapequa tourney which in 2011 was at Bethpage Polo grounds.
Can't speak for Commack tournament as my son's team did not play there but Massapequa was well run. No issues and would appear it was higher level of competition as compared to Commack. Bethpage fields are well maintained but I think to small for anything older than u11.
The Commack tournament is not well run or organized. They also use grass fields, which are muddy quite often.
As for the Massapequa tournament, Bethpage is only one of the venues they use. Burns Park, Field of Dreams, and Soccer Park, plus many other turf fields are used.