I have a pair of zippered, padded large shoulder-type bags that hold two Speedotron 202 VF flashheads with 7-inch reflectors on, so, about the same size as the Flashpoint monolights...works okay, two units fit into each of those bags. I also have some other bags for transporting flash gear. Truth be told thohugh, my favorite flash case has no wheels on it, and is long, long enough to hold umbrellas in it, plus mulktiple flash heads and a power pack...would easily hold eight nmonolights in it, two per compartment. This is a Speedotron ballistic nylon 'location case' which has been made for a few decades now.
I dunno...you can carry flash gear in any type of case you want. Whatever you feel is the right design is A-okay. But keep in mind: it is VERY handy to also be able to carry two or three light stands, and umbrellas/pop-up softboxes, whatever, along with the flash units themselves, all in ONE CASE, not in two cases!