The 620 came with 27" wheels, yet fit 700 wheels very nicely!
In fact, I sold my CC to but a Trek 620, same color, same year.
I love the trek, I have 32 size marathons and fenders on it.
It hauls more than the CC, because of the heel clearance, and
It much more fun to ride, It's lighter, and doesn't feel like a pig.
I liked the CC, it did a lot of things well, but always felt dead.
Please don't tell me to build it with lighter stuff. I did! Full campy 11 speed chours!
So I have some idea of what I am saying.
I know nothing of the exact bike you are speaking of, but from an overall outlook.
The Trek is a better bike. It does everything the CC does and is a lot more fun to ride.
Either way, as far as any of the bikes listed, you can't go wrong!
IMO; Most that are saying CC or LHT, have never rode a old steel trek like the 620.
Good luck and post pics.