There’s still a prejudice against pushcarts in this country, especially among younger players. Although pushcarts are awesome in the rain, especially if you are short enough to take advantage of the umbrella holder that comes with most of the modern ones.
Recently, I acquired two accessories that make wet-weather pushcart golf even easier. Both are made by Big Max Golf, an Austrian company, which made my current ride, a super-compact “push trolley” called a Big Max Blade +. The first accessory is called the I-Dry Rainsystem.