Messmaker,
I'm still not sure why you need a license plate (unless you are using this trailer for a business)
Here's something I pulled off the Bullit county KY clerks website:
"Trailer License Exemptions
Trailers that are privately owned and operated and meet the following criteria do not have to be licensed in Kentucky.
Used for the transportation of:
Boats
Luggage
Personal Effects
Farm products, farm supplies or farm equipment
All-terrain vehicles as defined in KRS 189.010(24)
Wildlife as defined in KRS 150.010(41) that the owner or operator of the trailer has obtained while hunting
Firearms or other supplies used in conjunction with hunting wildlife"