I would suggest using an almond milk yogurt instead. Almond milk will likely be too thin for this recipe.

“Can I Use Greek Yogurt Instead of Plain Yogurt?
This gluten free bran muffin recipe is based on Martha Stewart’s Recipe for Giant Bran and Raisin Muffins. She uses plain yogurt in her recipe, not Greek yogurt. Personally, I only keep Greek yogurt in our house. Greek yogurt can be thinned down with water for this recipe. However, I recommend simply substituting Plain Kefir for the yogurt. Kefir has a thinner consistency than Greek yogurt. (And it’s a great substitute for buttermilk, as well.) “

I’ve never tried it with any other kind of juice. The whole point of this recipe was to include prune juice. I suppose you could try grape juice or apple juice.