I checked out your link... the only attraction I could try is bumper cars. They're on the ground so they seem safe enough. I've never been a huge fan of fairgrounds, as we didn't have many of those when I was a kid. Later on I had to battle my fears and take my kids on various rides, some of them quite scary. Thankfully, they no longer need an adult for that so I can watch, never with an easy heart though.
Those bumper cars were great fun, I'd forgotten about them, but I'm not sure I could go on any of those again. Actually very much like I'd not want a repeat some of thode bad experiences in life, but at the same time wish I could relive special moments.
You have a very special daughter!
We never stop worrying about our kids, no matter how old they are.
Have a wonderful weekend Rebecca.