Hot tub shelter
You can choose from many alternatives to a hot tub gazebo. A wooden gazebo is very expensive not only when you purchase it, but also when you maintain it.
You can purchase an overhead canopy for as low as $40.rclma Take into consideration how resistant must the canopy be. Flimsy canopies will not resist during the first storm they encounter. Steel canopies are suitable and resistant gazebo alternatives.
Outdoor porch conversion
You can try converting the outdoor porch into a hot tub room. This may seem expensive, but it will last a very long time and add value to the house. It will also let you use the hot tub in cold, rainy and snowy weather.
Hot tub enclosure
You can purchase a hot tub enclosure kit, designed to fit the exact hot tub model that you have. It can be built in just around an hour.