The other relief options on the 40 man SUCK. Jay Jackson, Thornton, Hatch, etc.
Calling upon someone not on the 40 man doesn't really help the situation either, it would just add to the logjam.
For that reason it makes sense to keep Bass and move him down the pecking order while he works through the kinks. They could juggle it by optioning Pop or using the IL for both real and phantom injuries. It's not ideal but this is the inconvenience we deal with when it comes to having a stacked bullpen.
We could also try him for a non 40-man lotto ticket but I doubt he'd fetch much.
It would just suck to lose Bass for nothing, get a couple of injuries and then all of the sudden Jay Jackson and Trent Thornton are logging meaningful innings.