Step 1: Buy a luggage scale
This is the luggage scale that I bought off the Internet for $16. You attach your luggage to these hand-held devices and lift them with the luggage attached. The scale beeps or stops changing value and then you read off the weight. Their maximum range is about 125 lbs – less than a lot of bee hives. However, if you measure the hive by only lifting one side - and assume that weight in the hive is more or less centrally distributed - then you are only measuring half the hive's weight. You have a loss in accuracy but your maximum range is now extended to 250 lbs.
You do not need to use exactly the same scale shown here. However, you may need to get creative in attaching the luggage scale to the scale handle.