Without the lynch power, I don't see how we win. Both Rbers are still alive and have at least one shot left. They RB us tonight. I don't know if Rb cancels out the BP but if it does, one of us dies tonight and the other tomorrow, nothing we can do about it.
If it doesn't, then both us BP tonight and they RB us tonight and we go into tomorrow with no kills and repeat the process, but they'll have used both RBs and we can Vig and doc with impunity.
Basically, if RB blocks BP, it's autolose for town, if RB doesn't block BP it's autowin for town.