This question is usually framed as "What tires should I buy for my RV Trailer?"
RE TPMS I recommend the Low Pressure warning be no lower than 95% of the goal Cold pressure. Your High pressure can be set to 125% of your Cold inflation. Your high temperature is probably set by the TMPS mfg to 157°F (70°C) which is a reasonable level for aftermarket external TPMS..
Finally, I will go so far as saying you will probably be better off if you ensure that what ever tire you select shows that it has Nylon aka polyamide listed as one of the materials under the tread in addition to the steel ply. This will improve heat resistance and high speed durability.