I think you need to look up the weight capability specs for the tires that you have then take your total trailer loaded weight and divide by the number of tires... like 8,500 divide by 4 tires = 2,125# load per tire. Give yourself maybe 20% margin and if the size and ply of the tire will handle 2,550# and the tires are new then go with it. If you have 2 or more years on the tires, then I would be replacing before a long trip.
To illustrate, I wrote this in a thread 9 months ago...
2014 Shamrock 183
Dry weight 3663 plus load up to 1053 total weight 4716# as spec'd on tag on trailer
CAT scale weight done with full camping load (no fresh water) and hooked to TV = 4300# so I figure I am well within the camper load specs.
Each tire is spec'd to handle 1760# X4 = 7,040# or about 2,000# MORE than my MAX trailer weight... so I figure I am good with stock load range C tires for MY trailer.
You might want to consider adding a TPMS system that might save you some tire headaches on a long trip.
I hope this makes sense to you.