I'd suggest finding out what the load carrying capacity of those tires are at the maximum wheel pressure.
Multiply each tire's capacity @ 60psi by the number of tires you have.
Let's say the max load at 60 is 2000 and you have 4 tires.
Max=8000
Run your trailer with a normal load over to the scales.
Let's say your trailer weighs 6500 lbs.
Does the overall capacity exceed the load? If not, you are fine in that respect.
Next weigh each side, or each wheel position. Does the capacity of each tire @Max wheel pressure exceed the load? If so for all positions, then you are fine.
I wouldn't exceed pressure ratings or capacities if your load is within the capacity at rated pressures/load ranges.
If your load is greater than than the capacity at that pressure, make the determination if you are willing to accept that. If you are 100 lbs or a 1000 over, only you can decide whether that's ok or not. 100 over may be ok, 1000 is not (in my book). If the load is over, look at other options.
Michelin publishes loads for specific pressures for each load range. This guide generally applies to all brands of tires of the same size and load ratings.
I always ran right at or slightly over capacity on the rear on our old motorhome, as it simply didn't have much capacity over the empty weight. We never loaded very heavy anyway, so I accepted that fact.
I put 15" load range D LT tires on our fifth wheel; I don't recall the exact numbers but it seemed they had about 1500 lbs more capacity than the loaded trailer weight.
Hope that helps.