Mixing profoto b1 air with speedlights. is it possible?

[D-B-J]

Well, you hit upon one thing: with a monolight for the background light, you get real-time feedback on where the light hits, and also, the monolight would be easier to add a honeycomb grid to, or real barn doors to, or a mylar or Tuff-SPun diffuser to. Speedlights are not as easily modified as a "real" studio flash that has a 7-inch or 8-inch, round-pattern reflector that can accept light modifying accessories to.

Speedlights run off of small batteries--that is their biggest advantage. I would rather have an inexpensive Goddox or Neewer monolight of 150 Watt-seconds, yes. Along with 10-degree honeycomb, 20-degree honeycomb, and 35-degree honeycomb grids for the 7- or 8-inch circular reflector. it is also MUCH easier to gel light and to control the light and how.where it hits a background with a bigger, 7- or 8-inch reflector and barn doors than it is with a speedlight and a 1-inch by 3-inch gel strip.

Yeah but the B1's have their own batteries too...