Whoever gave you the specs for the trailer was way off base. I have a 2004 36RS3 (36'9" long), ordered new in the fall of 2003, and the specs on it are:
Dry weight - 12,500#
Dry pin weight - 2500#
GVWR - 16,000#
It is still a great trailer and we love it. To quote one of the other posters, it IS built a lot better than the new ones. We just looked at new ones at the Tampa RV show and yes, they are nice, but the quality has suffered under the new ownership.
My wife and I travel that route a lot and never have had any problems with traffic in that area and we tow a 36' 5th wheel. All the afternoon traffic on Labor Day will be headed south. Don't worry about the toll booth and have a great trip.