Here's something that's very easy:
Pour heavy or whipping cream over a bowl of mixed frozen berries until they're almost covered. The cream that works its way in between the berries will be instantly frozen and you will get a big frozen lump of creamy berries which you can then break up and eat with a spoon or mush into more of a creamy consistency. Add coconut flakes for extra deliciousness.
edit: Got a little excited and forgot you might be trying to avoid dairy altogether. I've found that my system handles high fat dairy very well, while things like 2% milk do bad things. So this might work for you.
You lousy kids! Get off my savannah!