Businessguy,
Both these programs are amazing. Your choice depends on what your career and personal motivations are.
I had the opportunity to speak with a several FT Johnson students during their spring break trek visit to my company here in Dubai and, like you, I was offered the CC program in place of the FT program at Fuqua and accordingly spoke to a lot of current CC students, the admissions director there, and the Energy sector career development director.
From all of my discussions, I concluded that to shift my career opportunities, sector, job functions etc relatively quickly and to be exposed to experiences I wouldn't typically get in the region or at my job, I should do a full time MBA and not a CCMBA. Even though it is very much possible to shift industries and advance your career with a CCMBA, it is relatively slower and requires a lot more focus on networking. You will also not have the same direct access to speakers and companies that your FT peers will.
Saying this, even though you will be stressed with work and the study in the two years, with a CCMBA you will be in a relatively better short term financial position as compared to the FT MBA.
So as Dom and Jumsumtak mentioned, it completely narrows down to what you want from your B-school experience, what your future goals are, and what you're willing to compromise/invest.
Had I been in your position, I would have opted for Johnson.