Maybe you could devise some sort of trap? My first thought would be to use a tall container and put some bait at the bottom. But lizards are usually strong climbers, so I don't know how well that would work. If it's afraid of you, perhaps you could give it some sort of tempting hiding place that you can easily move to the new terrarium.
That's a shame that she's all skittish. Are Anoles easy to socialize? Unless there's a risk of fighting breaking out, I'd definitely give some thought to bringing in a few pet-shop Anoles to put yours at ease. I'm not sure what you'd do to hand-tame a lizard like that. Hand feedings? Sit by the tank whenever it eats? Maybe you should ask those YouTube folks how they did it. I've got a parakeet that likes to sit on my finger but I don't know how much of that training would carry over to an Anole - parakeets crave attention so it's pretty easy to make friends once they figure out that you don't want to eat them.