Phill, they already do this today. The TSSAA is made up of a board of directors and guess who they are....... you guessed it....The High Schools themselves...it is a self governing body. They (the Schools) could choose to put in a shot clock if they so choose but they have chosen not to.
Your points about equality, etc; lack merit. If the HS Mens game ever gets a shot clock...so will the women.
Just leave it alone. Don't ruin a perfectly good game.