As someone who is balance challenged due to a medical issue (I've only got one functioning balance nerve instead of the usual two that most people have), rocky trails definitely provide a challenge to me.
That being said, I was just on the Moosilauke Carriage Road this weekend. It's like a tale of two trails. The upper section between the Glencliff Junction and the Snapper Trail is well used and worn. There are rocks on it in spots, but nothing too jagged or big. Most are fairly small and/or flat. There are a couple sections that are steeper and rockier. I found that my legs did take a bit of a pounding on this section, despite the terrain. I think it was more of the steepness than the rocks, though for me.
The lower section of that trail (between the Snapper and Hurricane Trails) is completely different. Nice, soft footbed, switchbacked, well graded, not too rocky or rooty. Clearly gets significantly less useage than the upper part of the trail. We took that down to the Hurricane Trail back to the lodge. It's 0.7 miles longer than taking the Snapper Trail, but we made it back to the lodge in the same amount of time that a group who passed us and took the Snapper Trail back did, so I wouldn't say that it requires a whole lot more time going back there, and it's a lot more pleasant.
One note, there are a fair number of bridges (going over what I'm sure is spring runoff areas, but which were mostly dry) on the Hurricane Trail and there was one bridge near the end where one of the two logs had broken. I just went down onto the rocks and rock hopped across the water on that one. A couple of the other bridges were starting to disintegrate on the ends and could stand to be replaced, but they were still negotiable. There's also a fair number of water stepovers (from rock to rock with Water in between) on that trail, so it's something to be aware of.
And, I'll throw in another yes for the Mount Parker and Mount Langdon Trails. Did those a few weeks ago and really enjoyed them. Soft footbed, not very rocky. The Mount Parker Trail has a fair number of blowdowns across it, but most are stepovers. A couple are tricker for those with shorter legs, but not impossible. And the views toward the Presis from Mount Parker are great!
