Clicking around the house and not treating her defeats the purpose of the clicker, IMO. You can use a verbal cue or a pen cap instead. I also think a Snapple cap would work

Okay, I did a pretty bad job in the video because I was more concerned with staying in the camera window than getting focus from Ivy. Sorry! I explained it on the other forum, but the objective of the LAT game is to get your dog to offer a look at the other dog. Meaning:

You want to click/treat when she looks at the dog, let her eat the treat, and then let her look at the dog again. If you repeat this enough, your dog will eventually start to offer you a glance at the dog as a trick. This is your goal. So, you WANT them to look at the other dog. You want them to acknowledge that there is another dog there. But eventually, through LAT, you condition the trigger from "OMG THERE'S A DOG! I HAVE TO OVERREACT!!" to "Oh! There's a dog! That means I get to play the LAT game with Mom".

ETA: It's tough at first, but it is doable, even in high stress situations. Leslie wrote Control Unleashed specifically for agility dogs, so I'm sure you can do it in flyball.