In the Superior Court of California, you should be able to not mention the "dba" in the caption of the complaint, so long as you allege in the body of the allegations in the complaint that the name is a fictitious business name.
The important thing before filing the complaint is that you in fact did file a fictitious business name statement, as required by Business and Professions Code section 17918, which provides, in part: "No person transacting business under a fictitious business name contrary to the provisions of this chapter, or his assignee, may maintain any action upon or on account of any contract made, or transaction had, in the fictitious business name in any court of this state until the fictitious business name statement has been executed, filed, and published as required by this chapter...."
However, in small claims court, you have to fill out and file a form SC-103:
I represented creditors in lawsuits in California who did not want their names to be connected with the name of a lawsuit. The easy way to avoid having your name as plaintiff is to assign your rights to someone else who then sues. Under this method, the lawsuit's caption would include neither Joe nor Joe's business. Look for stuff relatingf to "assignment" if you want to pursue this theory yourself without hiring a lawyer. If you decide to hire a lawyer, bring this idea up with them.