Anemones are pretty poor candidates for nanos.
Bubbles aren't as light needy as some other species but they still need a pretty good amount. As Mike mentioned all anemones will wander if they're not happy. Bubbles wander more than any other type I've tried. They can sting stuff in the process. All anemones if healthy will outgrow a nano. One of my favorite stores in Austin has a 30g oceanic cube with a MH pendant over the top of it, and there is a RBTA that's taking up 3/4 of it. I have a friend that did a custom 18g cube that got an electric green carpet that was about 6 inches across. He had to sell it 5 months later because it had grown enough that it took up half of the tank, and had eaten 2 fish that didn't have space to keep away from it. If you're simply determined I'd try a small bubble tip, whether it's a rose or green. They seem to be a bit hardier than several other species.
Good luck.
B