I think you mean BS-22...
There's no real need to build a complete system off one MFG - you can mix and match components all you want. Most agree that your front sound stage (L/C/R) should be timbre matched though.
So, get 3 BS-22s if your space allows for a vertical center or get 2 BS-22 (L/R) and a C-22. However, if you only want a L/R and a sub you’re going to be very limited in options. Check the budget sub threads for more info.
My living room budget build: Samsung PN51E530 / Denon AVR1613 / DefTech PC1000 / DefTech PM60 / DefTech ProSub 60 / Dayton Sub1200