Lowepro Lenstrekker 600 AW II & Canon EF 400 F2.8 L IS USM

I am considering a Lenstrekker 600 AW II for use with my 400 F2.8, my gripped 7D as wel as the tc 1.4x and the TC 2X.

I like the lens hood to be extended in the case and the 7D mounted on the lens. Judging from the dimensions that should be OK.

Can anyone confirm that also the assembly of the lens with extended hood and 7D mounted to with either TC will fit?

Thanks in advance,

Guus