Is frozen yogurt as digestible as yogurt?

I'm lactose intolerant, but I can eat yogurt with no discomfort, presumably because the live cultures aid digestion. Ice cream, however, causes me extreme pain, even if I take a lactase enzyme supplement beforehand. Several friends have suggested I try frozen yogurt, but I'm concerned that it's not really yogurt and will still give me cramps. Does anyone have experience with this?