I don't mind telling you how smuggling works, actually.
Basically, normally ship-to-ship combat is 1v1, right? Well, in smuggling runs, you have to face off against (most) every ship at a planet that you are smuggling from. But you DON'T have to win. Each part of the long single combat is based on the speed of your engines versus theirs. So dreadnoughts can't even catch your corvettes and you just skip them, the speed differential is so high. But with other middling-size ships against (for instance) a corvette, you'll have to fight them for a certain amount of time that is based on the differential in engine speed. If you survive through the gauntlet, you win the smuggling run.
You can use a dreadnought of your own (or whatever else) to attempt a smuggling run, but that's like taking the death star on a stealth mission.
Depending on what else is waiting at that planet, you're unlikely to actually have your dreadnought survive that much combat at once unless it's just small craft.