The Lunette and using rubbing alcohol for daily cleaning

I looked at the thread posted for cleaning and saw that alcohol could be used for some brands of cups but not others. Does anyone know if the alcohol is OK to use on the Lunette brand for the daily cleanings?
I don't have any soap safe to use on it that don't have harmful stuff to the cup in them right now. And I even heard a little bit about some soaps that could be used for washing the cups having ingredients in them that are really good for the body, so I'm not sure what to use. I figured if the Lunette could handle the alcohol then I would just use that until I figure out what soap that was the best to use that didn't cost $10 bucks a bottle and that I might already have on hand.

I use a generic of Summers eve liquid soap, I find it at wallmart for $2 for a huge bottle. At the end of my cycle I use a Lunette wipe. Which would be similar to using rubbing alcohol. If you were to use rubbing alcohol I would make sure to rinse it off after it has dried. Just to make sure the cup is fully clean. Use a cotton ball or something similar to put the rubbing alcohol on, don't soak your cup.