Nice hive Lisa! I would shorten up the supporting boards so the rain doesn't bounce off them, then run under the hive? I'm assuming the hive is not Pressure-treated wood?
Those boards are actually not supporting boards - they are just boards I put under the hive so I could have some place to put tools on when I'm working the hive. My smoker fits on them really nice and then I don't have to worry about knocking it over or reaching for it with the hive open; everything is within reach. It would have to be raining pretty hard for rain water to get in the hive. The hive actually sits on a bottom board that is mostly a screen for ventilation and pest control. It doesn't look very sturdy but it is. You are correct, no pressure treated wood here. It's all inexpensive pine. Some hives are made of cedar but that's big bucks for something that only going to get sticky and messed up. I painted mine the light green because it's camouflage in my suburban neighborhood and I got it cheap off the "opps" table at HD - 5 bucks for the gallon. Believe me the cost to get started in beekeeping adds up fast. Have a great rest of the weekend, Lisa