If you are sawing a stack of 21/4 slabs on your bandmill,then rotating 90 degrees,that's probably the fasrest method without major equipment changes. Your next best option might be an edger with several fixed blades.This will work,and work well,problem is time,and handeling. You still have to cut your flitches,move them to a staging area by the edger ,then feed them through. Even with additional manpower,the time and effort involved is the same.If your flitches are wider than the setup on the edger,then they have to be returned,more time ,and handeling.
It could be done,probably quite well with a coupla turnarounds,your 21/4 cuts going one way,and the flitch returning another,that way ,you could have several in motion at one time.Still it will take some mechanicals, and labor. Don't know what kind of volume,or how long you plan to do this. Would it justify the investment ,and effort.
Depending on how your bandmill is set up ,a rack on the back side to push the strips into once the second cut was made seems like the fastest way to me,but I'm probably missing something important.