Roasted Chicken With Beer without sauce crumbs

1 whole chicken , giblets removed, legs tied together 2 cups butter , cut into pieces 5 carrots , cut in chunks (I use mini carrots instead) 5 zucchini ,[...]

2 zucchini (about 8oz in total) 1 1/2 ounces unsalted butter , at room temperature 1 onion , finely chopped 2 ounces cream cheese 1 ounce white breadcrumb,[...]