I will stick with my three recommendations. Trailer is not going to claw it's way out of a mud hole in Alaska! HHII are very heavy for their size and sometimes not balanced left to right that well. Thus one of the over constructed steel ply carcass tires are the smart choice for replacement. I did include the Duravis M895 A&S in my recommendation if OP thinks he needs a bit more aggressive thread. No need for a M&S tire on a trailer in summer time use, or any other time for that matter.
Michelin XPS RIB
Bridgestone Duravis R250
Bridgestone Duravis M895
Chris