Have seen and done something similar:
Round 1: LF to 3rd, CF to 2nd, RF to home (1B cuts)
Round 2: LF to 2nd, CF to home (1B Cuts), RF to 3rd (2B cuts)
Round 3: LF to home (3B cuts) CF to 3rd (SS cuts) RF to 2nd (2B cuts).
Available fielders cover bags (ex in RD 3. 3B-1 is cutting LF to home while 3B-2 receives throw from CF. I've seen in RD 3 where catcher throws to 1B afyer throw home so 1B dont stand around. I'd bet you could have a short 3B, MI, and 1B to work all C throws too!! Gotta be 2 deep at each spot.
More I think about it, I think whichever OF is throwing home, you'd be safe throwing to that bag...think with me!
RF-1b-1 cuts, 1B-2 takes throw from C
CF- 1B-1 cuts...backup MI take throw at grass??
LF- 3B-1 cuts, 3B-2 takes throw from CF, either 3B-3 or SS-2 takes throw from C at cup??
You could work it...but I'd wear a helmet!!