what about the nova 5?
that too was my first thought, though i found it's only 6-inches deep.
while I am not sure the size of the Portico, I dont see how the Nova5 wouldnt work for you...
I have previously stuffed in my Nova5 (for festival purposes):
DA-P1
V3
SD MP-2
Sony M1 and SBM1
2x 6V12AH SLA
2 sets of mics (1 full bodied AKG 391 and 1 active set of Geffells)
2 sets of XLR
shocks, clamps, tbars, misc cables, adaptors, etc
granted it was a tight fit with all of that in it at one time, but I cant see a 722 and Portico plus a set of mics and battery taking up more room than what I above squeezed in...