I carry my 60D + 100-400 (hood reversed) in my Domke F3 no problem. With the Tammy, I haven't figured which bag to get. I don't want a vertical holster, have one for the 100-400 and find it bulky, so with the Tammy it will really be bad. Like to find something that would carry it horizontally (hood reversed) but so far haven't found anything big enough.
Storage at home is no problem, just when I'm out and about.