Pros:
Multiple tee pads
Practice basket up front
Not sure how often the park is used, but when I went absolutely no one was there; could be that it's not crowded so you have a chance for lots of practice throws
Cons:
Tee pads are currently grass. Tee signs are simple wooden stakes - apparently there's a plan to replace those soon
Not a lot of room to maneuver on am tee for #1 or the champ tee for hole #4, have to move out to the side some
No "next tee" signs. There are wooden stakes all over the place, but no indication as to which one is which, so once you're done with a hole you just walk to one and hope that's it.
A lot of brush on holes 4 and 5, also 6 if you don't make the tunnel shot
Holes 7, 8, and 9 zig zag and there's a chance for errant throws to be a danger.
Other Thoughts:
Burns Park is located at the top of Pinnacle Hill Road, near the Harpeth river. There's good canoeing out that way, you'll likely run into vans toting canoes and kayaks back and forth; be careful going around the curves. You'll pass the ball park where the canoe drop-off is, then cross the bridge and Burns Park will be on the right.
The practice basket is located next to the restrooms, to the right of the parking lot. When you get there, look for the wooden posts sticking out of the ground and you'll have found the first tee signs. Tee signs have division, distance, and par on them. No maps currently, but that doesn't matter because you can see most of the baskets from the tees. Holes 4, 5, and 9 are hidden from view from their tee pads, but you can see where they are as you're playing the other holes.
The course plays mostly in the open, with holes 4, 5, and 6 hugging the tree line or in the case of hole 6, tunneling through. Hole 3 is the longest at 440 (par 4) from the Am tee.
I was a bit frustrated with the course and about to write it off until hole 6. It' starts as a short tunnel shot, if you make it through then you have to avoid the high grass on the other side near the basket. When you walk through you'll be out in the open again, with a nice pond, several willow trees, and river just off to your left. Very scenic, if you're into that.
Could use some work, but there's plenty of potential there. Next time I'm canoeing I'll probably stop by again and get a quick round in.