That is exacty the sort of task I'd dig this out for.
It's a little hand operated blender. The handle on the left is attached to a string and you pump it to rotate the blender blades.
It would certainly cope with the recipe you give. And it's very cheap and environmentally friendly.
I cost me the equivalent of about $3 USD, but I bought it in Japan. Try hunting around wherever you are.
That said, any small blender would deal with that recipe and similar blending requirements.