You won't need to rotate tires on your trailer unless you just want to. The tires are constantly scrubbing sideways around corners unlike the tires on your truck. Balancing tires on a trailer is optional.
Your only requirement when replacing tires on a vehicle is the tires capacity should meet or exceed the vehicles 6k axle ratings.
As mentioned the Michelin XPS rib and Bridgestone R250 are a commercial grade all steel carcass LT E and are tops.
Fabric carcass LT E tires that are favorites for 6k axles ate the BFG Commercials or Firestone Transforce or Uniroyal Lerado HD-H or Goodyears Wrangler HT or Cooper SRM II.
The tires above are a few of the all time favorites with trailer owners with 5.2/6k axles.