Many many places are fairly well hunted out by people who were there before you. The guys who got into detecting in the late 1960s and early 1970s cleaned out most of the easily available silver in many areas. There have been many folks with better detectors since then in many parts of the country, and they have cleaned out what the early hunters missed. In my part of N.Y. state all parks, schools, and most churches are now like your park, devoid if any old targets, and my area was populated since colonial days, but they have been well hunted for years. Luckily I was one of the few and first people with a detector here and dug plenty of great stuff back then, but even with the most sophisticated modern machines I cannot find any old targets at the sites I hunted years ago. In many areas these days getting permission to hunt old private property will be the only way you will find older goodies. Private residences will not usually have as many targets as public places like parks and schools but will be the only places one can find the older goodies. There are some who say a place is never hunted out, but they are mistaken unless one thinks hunting for forty hours for a missed dime or wheatie is fun. Good luck, I hope you get some good permissions and find some cool older stuff.