As a general rule, in that stretch at that level, you'd need to really mess up to ding up a chine (although I'm quite sure it can be done). If you follow the main current path, the issue will likely be shallow gravel bars. If you have waders or good boots, it shouldn't be hard to get it OFF there, if you do in fact stick it... which you probably won't -- and if so, only because you're new to the river. It's when it drops below 12' (and it will be close this weekend) that you might drag (and do that silly-sweet bounce-up-and-down-so-you-don't-have-to-get-out firedrill).
There's some great stretches for plugging there, too, but below about 12.4 or so, plugging starts to suck a bit (we're planning on running smaller-than-our-usual stuff, and chucking a bunch of hardware/bobbers).
Depending how much time you have, you might consider launching at Feldheimer's, which makes for a significantly longer float, with some good water, and slightly less crowded. But don't fool yourself -- you'll have company on the weekend. But it's usually a pretty regular crew there, and the vast majority are very cool and courteous... and a few jerks who tick everyone else OFF... like most other popular rivers.
But if you've never done the Clack, I think you'll really dig it. Plenty of every kind of water, decent sized stream, plenty of fish (don't hold your breath waiting for a springer in February), and about as scenic and peaceful as you could reasonably expect for the Metro Area's most popular stream.
I'll try and give a report tomorrow night. Excited to be getting out.