Can you give her something (a favorite stuffed animal etc) and tell her is she is noisy you have to come take it away. Take it away if needed and tell her you will bring it back to her once she is still and quiet?

This will only work for some kids...some could care less and will use it as a chance to be disruptive for attention.

Do you have a foam/rubber mat (even a yoga type mat) to put under her playpen to muffle the noise so you can then leave her?

If you think it will become habit for her and she doesn't nap at all today I would be tempted to put her back down for nap once everyone wakes...make sure she knows she is missing a fun activity. She won't sleep, but she will be in her playpen away from the kids and fun. Then tomorrow you can remind her that this will happen again should she chose to be disruptive and not nap.