Is there any particular need for robustness? Backpack style, duffel style, roller bag style, big shapeless bag?

I mean, any decent roller luggage could carry that. Target (and other places) sell regular duffel bags that are huge. A regular sea-bag (green duffel bag) would hold all that. Pretty sure Duluth Trading, Gall's (look at their firefighter gear bags), REI, or EMS all have bags that fit the bill. If you're a bit kinky you could get a body bag ...