A 4500 lb tandem axle trailer can have maybe 1125 lb load per tire.
Your OEM load C tires 1750 lbs at 50 psi = 7000 lbs and has plenty of reserve capacity.
Nothing is gained by over tiring the trailer such as a D tire in your trailers case other than a rougher ride for the inside of your trailer.
At some point a trailer can have too much tire and this would be a good example.
If it was my trailer I would stick with the load C tire as its has gobs of reserve capacity and will ride much better for your lightweight trailer.
The Load D tires work best on heavier trailers.