Carry distance will vary between contests. It's good to get good at a variety of ranges/weights. I've carried as short as 15 feet to as far as 20 meters.
That said, 60 meters with a turn sounds pretty crazy, and more crossfitty than strongman. I think your weight may be a little light, unless you're training for like a hussfel stone type carry, where speed is less of a concern and you're just trudging the distance.
As for question 2, I would actually find the farmer's handles a better investment than the trapbar. Pretty much anything you can do with a trap bar, you can do with farmer's handles, but you can also typically load farmer's handles heavier than you could a trap bar. And some companies actually make farmer's handles that can convert into a frame, which would be the best of both worlds.
The difference is going to be that the farmer's handles can move in more directions, which you'll really notice with a turn.