Airport Antidote question

I have a question on Airport Antidote. The Think Tank website doesn't seem to give me an answer.

I need to bring
1. 1D Mk 3
2. 300mm f/2.8
3. 200mm f/2 (slight smaller than 300mm f/2.8 )
4. 135mm f/2
5. 24-70 f/2.8

Will a Airport Antidote hold up?

Thanks,

Why 200 and 300, a 1.4 TC will make the 200 a 280 f2.8.
The Airstreem will hold:
2x MkIIs
1x 70-200 f2.8IS
1x 24-70
1x 17-35
1x 300 f2.8 IS
1x 580EXII.
But i would say no, unless its darn tight what you want wont fit.

good call, Angus. Sometimes, I just believe prime too much and have little faith in TC. But for the convenience, I should take a TC over two primes.