Cecil,
I have been catching trout at a State park for the last 10 years during the winter and hualing them 40 miles in nothing more than a 5 gallon bucket to stock at a relatives farm. I have had very few die over the years from the trip and never seen any dead in the pond after the transport. I guess if you dont handle them too much and mess up there protective slime coating they are fine.
Brian,
With the fungus it doesn't kill fish right away so you won't see any die on the trip. Like Bill said it may not mannifest itself for weeks even months.
As far as trout, I believe since they are a coldwater fish they are more resistant to coldwater fungus. The way I understand it a fish that is being held in water that is much below their optimum metabolism is more prone to facultative pathogens because their immune system is not working full steam.
Like Bob and Todd said though much if it has to do with possible injuries or removal of the protective slime coating on fish.