What does "any way" mean here?
"Way" here is a synonym for "method," "means," "manner," or "system." When the speaker says "we had a really hard time finding any way to do it here," they mean to say that it was difficult for them to find a method to maintain their zero-waste grocery shopping habit. Ex: Any way you go, you still have to go on the highway in the end. Ex: You can use any method, as long as the final result is acceptable.