WHile some will say the tranny is an issue, the one I have seen more of an issue is the rear axel on the 1500 series Burbs.
The other, which I did not highlight earlier, how are you on the total payload part of the equation. If the truck is over gvwr, or an RA< then do not tow this trailer. If under a bit, it will work, but break down sooner than later. If well under, then it will work fine. You can find 350V8's in rigs upwards of 20K in the past. I;ve been at 18K with my 2000 C2500 with it, was quite surprised at the speed I was able to go, MUCH MUCH better than the 454's I've had in the past.
Marty