Your BB will be useful at end-game, notably to take out omicron QGJ teams.
At the early-game, a good rule of thumb is this: is my squad accomplishing what I need them to? If the answer is yes, start gearing another team. Since you claimed your BB is “tearing things up,” it might be wise to start gearing another squad. GAC success at the early game depends on who has more teams. Mid-game is about who uses their teams smarter. End-game is about having better mods and datacrons.
I always suggest new players farm for Jedi Master Luke. There are a lot of nested requirements for him, and you will build a ton of core teams along the way, which will help you have fun and play better across ALL game modes.
JML is also hands-down the best Conquest character, and at mid/end-game, Conquest pays out the best rewards.
Hope you find this helpful!