Here in Texas, Private schools do not normally draw the same attention as public schools.
Bottom line is
if you are a player that has the ability to "garner the attention", then you will be seen.
However, 2nd Baptist in Houston has turned out a few high level players. One 2005 grad has committed to A&M. A few other 2005 Private school grads (Houston Christian) are going to Missouri, Tulane, & Brigham Young.
And, isn't Episcopal HS the 5A school that was admitted to UIL to play public schools? Have you checked Episcopal's alumni to see where they go?
Here in Dallas, Jesuit HS was admitted in 2004-05, after a legal battle of many years, & is sending several kids to some very good D1 programs (Rice, Texas, Arkansas, among others). Occassionaly, Dallas Christian, Bishop Dunne or Bishop Lynch will have a player or 2 who are standouts.
Suggest you also contact posters from the Houston area, like gloveman, kevin in missouri city, & visit
http://www.houston5Abaseball.com. Here, you'll find lots of info on schools & players from the Houston area.
Summer ball will provide most exposure. Kyle Chapman, Houston Heat, So. Texas Sun Devils, etc. are teams that have some of the best opportunities & contacts with scouts/recruiters for exposure.
Gloveman can help you with the bat question, too.