I can’t say for sure as I’m in a high chill area. I do know the two most mentioned low chill alba or alba-rubra types most mentioned are two that come out of Florida. I had plants but lost both to an unexpected freeze. I lost peach tree seedlings too. Here is what I know about the Florida mulberries.
Shangri La
A heavy producer of delicious large black fruit that ripens earlier than most varieties. Relatively compact tree grows up to 20 feet and has extra large heart shaped leaves. Originated in Naples, Florida and known to be a good choice for the south, but is also successfully grown in other areas. Hardy zones 7-9.
I can attest to the huge leaves, just beautiful!
Wacissa mulberry was found in the sleepy little town of Wacissa Florida. The original tree must be close to 70 years old and continues to bear heavy crops of 1 1/2 inch deep purple fruit. Rich sweet blackberry flavor, very soft and juicy. Fruit ripens in May. Zones 7-9.
Another I heard that is low Chill is Miss Kim. I have nothing about it. I would like to hear more. The problem with these low chills is they flower early and are subject to late freezes. It will grow in my zone, just never have fruit. Miss Kim is said to be later flowering for a low chill, and may work!
I got Black Prince in an auction on the new site BidNGrow. Seller is out of California, so it may also be a low chill? The seller has offered no other cuttings. Those photos though are hers for sure. I heard it was from Spain. All I know.