Yay for the doggy park off of Monroe. I drove down here one Saturday morning, walked the dog around a bit and then let her loose in the designated dog park, which I think the website says is a bit over an acre of fenced in fun for Fido. There was a constant flow of people coming in and out so if your intent is for your dog to socialize, you will meet that goal here on a warm Saturday. If you have a well behaved hound you can chill on the benches while they run with the pack, sniffing, digging, rolling around, doing all of that nasty dog stuff and there's plenty of room to play a bit of fetch and tug of war. There's a hose hooked up too in case your dog gets gross.
I like this park, but it is a bit out there for me so I may end up making Frazer park my main stop for dog antics. If you live near the greenway, check it out.