What others with years of experience have actually done is found out the hard way what works the best through actual experience with many sets of tires on trailers vs what a trailer mfg or even certain tire mfg advertisement says. The advantage of the E tire comes only at those higher pressures so unless the tire is a severe over rated for a trailer I would use max sidewall pressure. We are talking trailer tire position ...not the tow vehicle.
Then we have several tire blogs from actual "tire engineers" such as Tireman9 tire blog rvtiresafety.net who has written much on this same subject and gives his expert advise on load E replacing a load C/D tire and what pressure works best.
We also have several other websites like this one talks about different loads placed on each tire or axles.
fifthwheelstreet.com
Step #5..
Selecting the Correct Tire Pressure for Your Trailer
We at Fifth Wheel St. no longer recommend adjusting trailer tire inflation pressure below the maximum load PSI rating molded on the sidewall (and only if the wheel/rim is appropriately rated) regardless of the measured scaled weight of individual tire or axle positions for all multi-axle trailers.
However, we do strongly recommend weighing individual trailer tire positions to ensure none of the axles or tire positions are overloaded. Reports have shown that trailers do not have equal weight across all tire positions. Some RV load configurations may reveal as much as 20% difference between the front and rear axle. This especially true for Toy Haulers. It is possible that mismanaged trailer load distribution will cause one end of an axle or a tire to be overloaded.
Sorry for the long reply..... but if one takes the time and reads blogs like rvtiresafety.net .....or CapriRacer tire blog (Barry Smith on allexperts.com) and retains all that knowledge then he will be well enlightened on the tires for the trailer subject.