As mentioned, bambino has the magnifico with velcro tabs. Tykables though has several velcro options. They've got little builders for lower capacity, and overnights/galactic for higher capacity.
The velcro have their own "pop" problem. While they're strong against straight pulls, can easily be moved, and will "drift back" when pulled instead of popping, they will shift or pop really easily if pulled at an angle. So make sure you attach the tapes so they're facing directly away from where they're getting pulled toward.
I wear little builders daily to work, and I always have to angle my lower tapes down around 45 degrees because my fit requires the tapes to pull the lower part of the front of my diaper both out and up. (most of my diapers fit that way, and even plastic tapes will have problems with getting pulled sideways, by stretching one side of the tab or even tearing it)