I made cashew milk with my masticating juicer, it is lovely.
Probably cheaper to buy the milk (haven't seen any for sale here), but by making it yourself you know what's in it.
I also tried to make oat milk with the same juicer, wasn't happy about the result, need to try a different ratio of oats to water.
To note: homemade plant milks do not have the Vitamins C and D routinely added to commercial ones.
To the OP: berry fruits are one of the most heavily sprayed crops, try to eat them by foraging when in season, instead of buying frozen.
I don't think almond milk would complement the berries, but you might like it.