An open trailer is going to be lighter and less resistant to cross winds. An enclosed trailer will keep it clean. If the golf cart has a removable top and all can be stored in an enclosed stubby (think 4x8 U-Haul) you'll have some reduced wind resistance and it'll keep it clean, dry and unchipped from road debris.
I saw a Class A going down I-75 the other day towing a Silverado with a golf cart in the bed of the truck. You could try that but I was just throwing in a little humor. I laughed when I saw it but it made complete sense.
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