Ooo.. here's some of the parks.
This one is right near my house..
Kiwanis Park
This one's on the other side of town, but If I remember correctly, we've walked the dogs there before.
Winged Deer Park
Seen dogs here before, too
Rotary Park
That's all I can find right now.. but I know as long as we take poop bags and such I believe they'd be allowed anywhere. What do you guys think?
ETA: There's also a Walking trail at my old Elementary school where we walk Roxy and Lily. They have a huge open field, too.