I believe that the 11.7 is equal to whatever tuition is for in-state students so if in state tuition is 5,000, the coach has 58,500 to work with...... however, I believe there is a formula used for awarding scholarship money to out of state students that calculates an "average" like....
an "average" student's cost is equal to the weighted average of in-state and out-of-state students.
Given that a D1 program will have 30+ players on it and only (11.7 scholarships if they are lucky to have that many), you may not find a lot of out-of-state players on the team, unless the players are very talented, and probably paid a significant part of their tuition or got academic money. It also depends on the talent in that state. Case in point
The University of South Florida has 31 players on its 2003 roster, and 30 are from Florida. Since there are so many talented baseball players in florida and tuition is inexpensive at state schools, there is little incentive for the coach to invest time and money in recruiting out of state, especially when his scholarship dollars will not go very far for an out of state player. But if you are extremely talented, can pay your own way, and this coach can and has evaluated you, he might recruit you if you show interest in his school.
Florida also has a tuition program for residents that pays 75% of their tuition at a state school if they get certain grades and test scores in high school, so that is more of an incentive to stay in the state for many students. Many other states have similar programs.