San Francisco hound here ... I am in Long Beach for a couple of weeks and popped into Angelo's Deli on LaVerne yesterday. While waiting for my soppresata to be cut, I noticed a sign for burrata on the chalkboard. Angelo's is ordering burrata from Gioia. According tothe lady at Angelo's, Gioia makes the burrata on Monday night and Thursday night, and Angelo's gets it on Tuesday and Friday. You have to pre-order and pre-pay for it ($12.99/pound) -- sounds like they smartly aren't ordering it unless they have a demand for it.
By chance, I had just emailed Gioia yesterday to find out their burrata production days. Looks like Angelo's will get it to me nearly as fresh as going to S. El Monte myself.
190 La Verne Ave, Long Beach, CA 90803
Angelos Italian Deli
102 Main St, Seal Beach, CA 90740