Well, I am of a larger diameter than Swingcatt and have used bellybands in the past. My problem was finding one big enough to wrap around my tubby self. I have not had any problem with band roll while using them. I found the best way to use a BB was to NOT wear it around my belly but to position it so it was around my waist at belt level.
Many of the BB's on the market have sweat barriers built in to protect the finish of your Personal Protection Device. I found the greatest advantage to BB's was the fact I could position the PPD just about anywhere, cross draw, behind the hip, or small of the back. (SOB carry is the pits if you have to sit for any period of time on hard chairs.)
As an aside, my first bB was bought in '70 or '71 from a company named MMGR out of New York state. Boy, the stupid stuff I remember.
Ne Conjuge Nobiscum