The "payload police", which really are just persons who want to help members learn what the numbers mean, provide an invaluable alternative thought process to those that say "go for it". There is evidence that 2500s are sometimes limited with some numbers due to federal regulations, but it is what it is. However, 1500s are not in the same boat and are not designed to operate like a HD.
OP could be running up and down the mountains of 70, overloaded by hundreds in payload and thousands in GCWR. Not an advisable trip with that truck. At best whole system is under designed for travel on flat surfaces, this will be scary. Truck will labor to get up those mountains and mechanical issues should be expected. And downhill with more weight pushing behind a lighter truck, just not fun.
Or starting out with travel on 81 where trucks seem to outnumber cars and fly like the wind.
The better option is either downgrade the trailer or upgrade the truck. There are few knowns in this story, many assumptions and a couple trips to TX at 2500 miles, give or take a few hundred, is a great reason to get the right tool for the job.