Looking at the coleman site, it looks likeyourtrailer weighs about 5800 pounds or so ready to go camp. Figure 5000 to 5200 are on the axles.
If you have 205/75-14, they are likely on rims that are 5.5" wide, and have a five hole on 4.5" bolt circle. If you want to stay in 14", the, for instance a Kumho 857 load range D tire would have at least 1874 pounds of capacity, and as much as 2100 or so per tire. That leaves a healthy reserve ( assuming I am right about the weight of your trailer ).
You could also do a 15x6 rim, and still be on a five hole with a 4.5" bolt pattern. In a 15", something like a Continental Vanco 2 would work.
EDIT, PS, whatever tire you choose, do your homework and make sure you are choosing a tire that is compatable to the rim width. Tire rack is one good place to compare those kinds of specs.